Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
104040ce |
Isogeny class |
Conductor |
104040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
7426758067200 = 210 · 310 · 52 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-103683,12849518] |
[a1,a2,a3,a4,a6] |
Generators |
[34:3060:1] |
Generators of the group modulo torsion |
j |
33610279748/2025 |
j-invariant |
L |
5.8840261147256 |
L(r)(E,1)/r! |
Ω |
0.70396151294101 |
Real period |
R |
2.0896121441027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34680j1 104040cs1 |
Quadratic twists by: -3 17 |