Atkin-Lehner |
2- 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
49560bf |
Isogeny class |
Conductor |
49560 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-326601515986628400 = -1 · 24 · 324 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-153055,35826578] |
[a1,a2,a3,a4,a6] |
j |
-24782729238319691776/20412594749164275 |
j-invariant |
L |
3.3527072654829 |
L(r)(E,1)/r! |
Ω |
0.27939227216103 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99120q1 |
Quadratic twists by: -4 |