Atkin-Lehner |
2+ 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878l |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
47520 |
Modular degree for the optimal curve |
Δ |
-319934748672 = -1 · 211 · 36 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,279,27085] |
[a1,a2,a3,a4,a6] |
Generators |
[543:12380:1] |
Generators of the group modulo torsion |
j |
3288008303/438867968 |
j-invariant |
L |
4.703254350702 |
L(r)(E,1)/r! |
Ω |
0.74279088996987 |
Real period |
R |
6.3318686513409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3542s1 |
Quadratic twists by: -3 |