Atkin-Lehner |
2- 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
84624h |
Isogeny class |
Conductor |
84624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
307872479487983616 = 228 · 32 · 413 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 -4 -2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-265472,45465600] |
[a1,a2,a3,a4,a6] |
j |
505151404935443713/75164179562496 |
j-invariant |
L |
1.175160285041 |
L(r)(E,1)/r! |
Ω |
0.29379005740734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10578i1 |
Quadratic twists by: -4 |