Atkin-Lehner |
2- 3- 5+ 29+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
107010p |
Isogeny class |
Conductor |
107010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
249632928000 = 28 · 38 · 53 · 29 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-250853,-48296163] |
[a1,a2,a3,a4,a6] |
Generators |
[-4678096753:2364644268:16194277] |
Generators of the group modulo torsion |
j |
2394707411732568841/342432000 |
j-invariant |
L |
9.7390213754115 |
L(r)(E,1)/r! |
Ω |
0.21332652987091 |
Real period |
R |
11.413279632636 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35670e1 |
Quadratic twists by: -3 |