Atkin-Lehner |
2- 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400eu |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-391671447552000000 = -1 · 226 · 32 · 56 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11- 6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-162008,-39145488] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/6119866368 |
j-invariant |
L |
2.7582712998111 |
L(r)(E,1)/r! |
Ω |
0.11492797113409 |
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 |
11550u1 3696x1 |
Quadratic twists by: -4 5 |