Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810y |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3407872 |
Modular degree for the optimal curve |
Δ |
-6886997063100000000 = -1 · 28 · 314 · 58 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2427300,-1460430000] |
[a1,a2,a3,a4,a6] |
Generators |
[154632:-11290012:27] |
Generators of the group modulo torsion |
j |
-2169534956816532916801/9447183900000000 |
j-invariant |
L |
4.0682485416502 |
L(r)(E,1)/r! |
Ω |
0.060461028501221 |
Real period |
R |
8.4108900717598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000066013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cv1 |
Quadratic twists by: -3 |