Atkin-Lehner |
2- 3+ 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98532i |
Isogeny class |
Conductor |
98532 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-42235938864 = -1 · 24 · 39 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -2 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-9963] |
[a1,a2,a3,a4,a6] |
Generators |
[423:8694:1] |
Generators of the group modulo torsion |
j |
-3538944/134113 |
j-invariant |
L |
9.3862857732389 |
L(r)(E,1)/r! |
Ω |
0.49899415787379 |
Real period |
R |
3.1350686918866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98532l1 |
Quadratic twists by: -3 |