Atkin-Lehner |
2+ 3- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350be |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
78594048 |
Modular degree for the optimal curve |
Δ |
-1.447229330126E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,511924349,17751986051198] |
[a1,a2,a3,a4,a6] |
j |
949557016813062170728246751/9262267712806533149491200 |
j-invariant |
L |
2.2997060986644 |
L(r)(E,1)/r! |
Ω |
0.023955271854494 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870m1 |
Quadratic twists by: 5 |