Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
92400hf |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
1.8432198204457E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-646587408,5981508487188] |
[a1,a2,a3,a4,a6] |
Generators |
[-10548:3410022:1] |
Generators of the group modulo torsion |
j |
467116778179943012100169/28800309694464000000 |
j-invariant |
L |
9.5092864784006 |
L(r)(E,1)/r! |
Ω |
0.046141392647883 |
Real period |
R |
4.2935447665874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002035 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11550bk6 18480bn6 |
Quadratic twists by: -4 5 |