Atkin-Lehner |
2- 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107508f |
Isogeny class |
Conductor |
107508 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
998784 |
Modular degree for the optimal curve |
Δ |
1588128842047824 = 24 · 33 · 179 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1369089,-616129686] |
[a1,a2,a3,a4,a6] |
Generators |
[520461965:-143350194337:6859] |
Generators of the group modulo torsion |
j |
149574926336/837 |
j-invariant |
L |
3.4904789188134 |
L(r)(E,1)/r! |
Ω |
0.13956989564498 |
Real period |
R |
16.672549321499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999008943 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107508i1 |
Quadratic twists by: 17 |