Atkin-Lehner |
2+ 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96200b |
Isogeny class |
Conductor |
96200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
25012000000 = 28 · 56 · 132 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 -5 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9833,371963] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:650:1] [53:50:1] |
Generators of the group modulo torsion |
j |
26288512000/6253 |
j-invariant |
L |
11.404971703238 |
L(r)(E,1)/r! |
Ω |
1.1637522338244 |
Real period |
R |
0.61251073101543 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3848b1 |
Quadratic twists by: 5 |