Atkin-Lehner |
2- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
124844a |
Isogeny class |
Conductor |
124844 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
-189635158096112 = -1 · 24 · 237 · 592 |
Discriminant |
Eigenvalues |
2- 1 2 0 0 5 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71062,-7345067] |
[a1,a2,a3,a4,a6] |
Generators |
[106064854250565:2611840902424223:147616524125] |
Generators of the group modulo torsion |
j |
-16755411712/80063 |
j-invariant |
L |
10.95796312598 |
L(r)(E,1)/r! |
Ω |
0.14616236304054 |
Real period |
R |
18.742792087558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5428b1 |
Quadratic twists by: -23 |