Atkin-Lehner |
2- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49856h |
Isogeny class |
Conductor |
49856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
5874867648579239936 = 240 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 0 2 2 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7080524,7250868880] |
[a1,a2,a3,a4,a6] |
Generators |
[399547902:-30544363520:59319] |
Generators of the group modulo torsion |
j |
149754536662333268457/22410841554944 |
j-invariant |
L |
7.3728628398627 |
L(r)(E,1)/r! |
Ω |
0.2314821614456 |
Real period |
R |
7.9626684771311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49856a1 12464b1 |
Quadratic twists by: -4 8 |