Atkin-Lehner |
2- 3- 7+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
66402s |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-2.4481468311202E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 0 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10231484,-12817087617] |
[a1,a2,a3,a4,a6] |
Generators |
[7751:607269:1] |
Generators of the group modulo torsion |
j |
-162484535168682210917497/3358226105789054976 |
j-invariant |
L |
11.653378050709 |
L(r)(E,1)/r! |
Ω |
0.042155404044734 |
Real period |
R |
5.7591361036833 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22134c1 |
Quadratic twists by: -3 |