Atkin-Lehner |
3+ 5- 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
92655b |
Isogeny class |
Conductor |
92655 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
298368 |
Modular degree for the optimal curve |
Δ |
-99486731115 = -1 · 33 · 5 · 29 · 714 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 3 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31767,-2179330] |
[a1,a2,a3,a4,a6] |
Generators |
[381645:4664780:1331] |
Generators of the group modulo torsion |
j |
-131307204995739648/3684693745 |
j-invariant |
L |
4.2548138462913 |
L(r)(E,1)/r! |
Ω |
0.17880299004962 |
Real period |
R |
5.949025013064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012757 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92655a1 |
Quadratic twists by: -3 |