Atkin-Lehner |
2- 3- 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
85608v |
Isogeny class |
Conductor |
85608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49664 |
Modular degree for the optimal curve |
Δ |
1123348176 = 24 · 310 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3594,-82915] |
[a1,a2,a3,a4,a6] |
Generators |
[153890:1362015:1331] |
Generators of the group modulo torsion |
j |
440159844352/96309 |
j-invariant |
L |
8.9583159668283 |
L(r)(E,1)/r! |
Ω |
0.61661024861313 |
Real period |
R |
7.2641640201776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28536a1 |
Quadratic twists by: -3 |