Atkin-Lehner |
5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
87025a |
Isogeny class |
Conductor |
87025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3058560 |
Modular degree for the optimal curve |
Δ |
-6.7679654833242E+20 |
Discriminant |
Eigenvalues |
1 2 5+ 2 0 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1176650,-1345110625] |
[a1,a2,a3,a4,a6] |
Generators |
[4456096523973912859812002765905210717462282441239409554037101546928688448141795066726069332164019672627651478258:131241877293685869400985650300707651140076574014962689570112729901151135712370422133420751254509514685527580299815:2354107800517368107408207737573509445386269055808434553200543773916570901199144271572839776322663002721421727] |
Generators of the group modulo torsion |
j |
-1331/5 |
j-invariant |
L |
11.558526303957 |
L(r)(E,1)/r! |
Ω |
0.066329795751028 |
Real period |
R |
174.25843353027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17405b1 87025b1 |
Quadratic twists by: 5 -59 |