Atkin-Lehner |
2+ 3+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440d |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
43290000000000 = 210 · 32 · 510 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9776,-192240] |
[a1,a2,a3,a4,a6] |
j |
100914078313156/42275390625 |
j-invariant |
L |
1.9934152818568 |
L(r)(E,1)/r! |
Ω |
0.49835370060807 |
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 |
57720j1 |
Quadratic twists by: -4 |