Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190bf |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-373268338166880 = -1 · 25 · 37 · 5 · 137 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 1 13+ 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-40733,3294488] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2170:1] |
Generators of the group modulo torsion |
j |
-1548415333009/77332320 |
j-invariant |
L |
7.1090600028459 |
L(r)(E,1)/r! |
Ω |
0.53013622220561 |
Real period |
R |
0.95784815111982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6630v1 |
Quadratic twists by: 13 |