Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
123210cu |
Isogeny class |
Conductor |
123210 |
Conductor |
∏ cp |
264 |
Product of Tamagawa factors cp |
deg |
86676480 |
Modular degree for the optimal curve |
Δ |
-5.4171017744597E+28 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1027522373,16915218747581] |
[a1,a2,a3,a4,a6] |
Generators |
[13311:2358976:1] |
Generators of the group modulo torsion |
j |
-64144540676215729729/28962038218752000 |
j-invariant |
L |
8.1876318054968 |
L(r)(E,1)/r! |
Ω |
0.033102930111294 |
Real period |
R |
0.93688855563771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41070l1 3330k1 |
Quadratic twists by: -3 37 |