Atkin-Lehner |
2- 3- 29- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73776x |
Isogeny class |
Conductor |
73776 |
Conductor |
∏ cp |
448 |
Product of Tamagawa factors cp |
deg |
10429440 |
Modular degree for the optimal curve |
Δ |
-8.4958541278134E+23 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 1 0 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1599384,-44354101356] |
[a1,a2,a3,a4,a6] |
Generators |
[37590:7280928:1] |
Generators of the group modulo torsion |
j |
-110464384477988727577/207418313667319629984 |
j-invariant |
L |
8.5035534338182 |
L(r)(E,1)/r! |
Ω |
0.040287150577853 |
Real period |
R |
0.47114640227854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9222d1 |
Quadratic twists by: -4 |