Atkin-Lehner |
2- 7- 17- 61- |
Signs for the Atkin-Lehner involutions |
Class |
101626be |
Isogeny class |
Conductor |
101626 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-93242261504 = -1 · 218 · 73 · 17 · 61 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-526,15364] |
[a1,a2,a3,a4,a6] |
Generators |
[60:418:1] |
Generators of the group modulo torsion |
j |
-46928689543/271843328 |
j-invariant |
L |
12.281062461315 |
L(r)(E,1)/r! |
Ω |
0.92458705582052 |
Real period |
R |
0.36896539020919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101626v1 |
Quadratic twists by: -7 |