Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200es |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
286720 |
Modular degree for the optimal curve |
Δ |
58482000000000 = 210 · 34 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10333,-171037] |
[a1,a2,a3,a4,a6] |
j |
61011968/29241 |
j-invariant |
L |
3.9725179810505 |
L(r)(E,1)/r! |
Ω |
0.49656475225408 |
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 |
91200gu1 11400bc1 91200ce1 |
Quadratic twists by: -4 8 5 |