Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
49840r |
Isogeny class |
Conductor |
49840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-40012349440 = -1 · 218 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 1 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,800,3840] |
[a1,a2,a3,a4,a6] |
j |
13806727199/9768640 |
j-invariant |
L |
2.9118542930904 |
L(r)(E,1)/r! |
Ω |
0.72796357330088 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230h1 |
Quadratic twists by: -4 |