Atkin-Lehner |
2- 3- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718x |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
880 |
Product of Tamagawa factors cp |
deg |
563200 |
Modular degree for the optimal curve |
Δ |
13910643893486592 = 210 · 311 · 74 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-91550,-9034044] |
[a1,a2,a3,a4,a6] |
Generators |
[-200:1234:1] |
Generators of the group modulo torsion |
j |
84859223708651263201/13910643893486592 |
j-invariant |
L |
8.8506427663192 |
L(r)(E,1)/r! |
Ω |
0.27751404638261 |
Real period |
R |
0.14496633563871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bm1 |
Quadratic twists by: -3 |