Atkin-Lehner |
2+ 3- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30090b |
Isogeny class |
Conductor |
30090 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-73166261311242240 = -1 · 224 · 3 · 5 · 174 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-393494,-95926744] |
[a1,a2,a3,a4,a6] |
Generators |
[56312366925344295:-442619550774440089:75124738564875] |
Generators of the group modulo torsion |
j |
-6738084754697016663769/73166261311242240 |
j-invariant |
L |
4.2131641793865 |
L(r)(E,1)/r! |
Ω |
0.095247621066202 |
Real period |
R |
22.11689978303 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90270bc1 |
Quadratic twists by: -3 |