Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372n |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23587200 |
Modular degree for the optimal curve |
Δ |
5.0468328908107E+22 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 4 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-434308086,3483862000137] |
[a1,a2,a3,a4,a6] |
Generators |
[-6048:2426787:1] |
Generators of the group modulo torsion |
j |
14540641024/81 |
j-invariant |
L |
5.0447420543893 |
L(r)(E,1)/r! |
Ω |
0.10003583362684 |
Real period |
R |
8.4048916244334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026223 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99372bc1 99372j1 |
Quadratic twists by: -7 13 |