Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
102366g |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
38320128 |
Modular degree for the optimal curve |
Δ |
-5.3289634904771E+23 |
Discriminant |
Eigenvalues |
2+ 3- 0 -3 11+ -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1215727497,16315920080653] |
[a1,a2,a3,a4,a6] |
Generators |
[73538:17979647:1] |
Generators of the group modulo torsion |
j |
-115603434342732237875/310013816832 |
j-invariant |
L |
3.3107623679126 |
L(r)(E,1)/r! |
Ω |
0.080313335451588 |
Real period |
R |
1.7176279748244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019808 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34122m1 102366bd1 |
Quadratic twists by: -3 -11 |