Atkin-Lehner |
2- 3+ 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650cl |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
34 |
Product of Tamagawa factors cp |
deg |
84864 |
Modular degree for the optimal curve |
Δ |
-19198771200 = -1 · 217 · 33 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-590,8797] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-109:1] |
Generators of the group modulo torsion |
j |
-33595855515/28442624 |
j-invariant |
L |
10.448748310173 |
L(r)(E,1)/r! |
Ω |
1.1178374974173 |
Real period |
R |
0.27492021634262 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004684 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650e1 97650m1 |
Quadratic twists by: -3 5 |