Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100m |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
34062336 |
Modular degree for the optimal curve |
Δ |
40163162681250000 = 24 · 33 · 58 · 77 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5950098300,176658412960125] |
[a1,a2,a3,a4,a6] |
j |
3451376687017714259756433408/5950098175 |
j-invariant |
L |
3.1332143933953 |
L(r)(E,1)/r! |
Ω |
0.11190051967657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107100h1 21420g1 |
Quadratic twists by: -3 5 |