Atkin-Lehner |
2+ 7- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558i |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
-33495140896 = -1 · 25 · 77 · 31 · 41 |
Discriminant |
Eigenvalues |
2+ -2 1 7- 1 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,562,7200] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:29:1] |
Generators of the group modulo torsion |
j |
167284151/284704 |
j-invariant |
L |
3.0982458495397 |
L(r)(E,1)/r! |
Ω |
0.79773291259469 |
Real period |
R |
0.97095337995666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999930263 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17794b1 |
Quadratic twists by: -7 |