Atkin-Lehner |
2+ 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
81600ci |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
49900809093120000 = 231 · 37 · 54 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 5 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124033,12971137] |
[a1,a2,a3,a4,a6] |
Generators |
[-32745:654524:125] |
Generators of the group modulo torsion |
j |
1288009359025/304570368 |
j-invariant |
L |
5.8832731159653 |
L(r)(E,1)/r! |
Ω |
0.33518052852474 |
Real period |
R |
8.7762751910439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600jy1 2550bf1 81600dc1 |
Quadratic twists by: -4 8 5 |