Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hc |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
7464960 |
Modular degree for the optimal curve |
Δ |
-1.5089477173047E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 1 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34308048,-77583665772] |
[a1,a2,a3,a4,a6] |
Generators |
[23442:3464208:1] |
Generators of the group modulo torsion |
j |
-43612581618346739773945/147358175518034712 |
j-invariant |
L |
9.2087221552996 |
L(r)(E,1)/r! |
Ω |
0.031184063043125 |
Real period |
R |
0.51267741610302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999927492 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bj1 92400fb1 |
Quadratic twists by: -4 5 |