Atkin-Lehner |
2- 3- 7- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512bo |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-11191357500390144 = -1 · 28 · 36 · 7 · 113 · 235 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-703596,-227217692] |
[a1,a2,a3,a4,a6] |
Generators |
[440672:292531338:1] |
Generators of the group modulo torsion |
j |
-206407894550668288/59967407731 |
j-invariant |
L |
9.5014757880253 |
L(r)(E,1)/r! |
Ω |
0.082419722784442 |
Real period |
R |
9.6067982077028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000048967 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14168f1 |
Quadratic twists by: -3 |