Atkin-Lehner |
2- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103600bz |
Isogeny class |
Conductor |
103600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1198080 |
Modular degree for the optimal curve |
Δ |
-742604800000000 = -1 · 220 · 58 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ -6 -4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-543208,154284912] |
[a1,a2,a3,a4,a6] |
j |
-11079062208265/464128 |
j-invariant |
L |
1.9018849127604 |
L(r)(E,1)/r! |
Ω |
0.47547117364178 |
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 |
12950j1 103600bn1 |
Quadratic twists by: -4 5 |