Atkin-Lehner |
2+ 3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330bm |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-8772861570049980 = -1 · 22 · 314 · 5 · 136 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-246068,-47217922] |
[a1,a2,a3,a4,a6] |
Generators |
[807:16327:1] |
Generators of the group modulo torsion |
j |
-341370886042369/1817528220 |
j-invariant |
L |
6.6076102617957 |
L(r)(E,1)/r! |
Ω |
0.10714396512455 |
Real period |
R |
2.2025139767968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002634 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
570j1 |
Quadratic twists by: 13 |