Atkin-Lehner |
2- 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350ch |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
1824768 |
Modular degree for the optimal curve |
Δ |
1157957222400000000 = 222 · 32 · 58 · 113 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-971313,364720617] |
[a1,a2,a3,a4,a6] |
Generators |
[842:-12421:1] |
Generators of the group modulo torsion |
j |
6486065320592901961/74109262233600 |
j-invariant |
L |
13.612837364046 |
L(r)(E,1)/r! |
Ω |
0.27541072490197 |
Real period |
R |
1.1233501069745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19470e1 |
Quadratic twists by: 5 |