Atkin-Lehner |
2+ 3- 5+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
121200bg |
Isogeny class |
Conductor |
121200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81600 |
Modular degree for the optimal curve |
Δ |
-47343750000 = -1 · 24 · 3 · 510 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -3 6 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-208,10463] |
[a1,a2,a3,a4,a6] |
Generators |
[302415:2862359:3375] |
Generators of the group modulo torsion |
j |
-6400/303 |
j-invariant |
L |
9.4452890299989 |
L(r)(E,1)/r! |
Ω |
0.93933842456486 |
Real period |
R |
10.05525672263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022835 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60600w1 121200w1 |
Quadratic twists by: -4 5 |