Atkin-Lehner |
3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
9225i |
Isogeny class |
Conductor |
9225 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
92400 |
Modular degree for the optimal curve |
Δ |
-2054048982338671875 = -1 · 33 · 58 · 417 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 0 -2 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,64500,68665781] |
[a1,a2,a3,a4,a6] |
j |
2813708206080/194754273881 |
j-invariant |
L |
1.197428272454 |
L(r)(E,1)/r! |
Ω |
0.19957137874233 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9225l1 9225a1 |
Quadratic twists by: -3 5 |