Atkin-Lehner |
7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3479d |
Isogeny class |
Conductor |
3479 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5824 |
Modular degree for the optimal curve |
Δ |
-2865106097 = -1 · 79 · 71 |
Discriminant |
Eigenvalues |
-1 3 4 7- -3 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1308,-18056] |
[a1,a2,a3,a4,a6] |
j |
-6128487/71 |
j-invariant |
L |
3.1734660626909 |
L(r)(E,1)/r! |
Ω |
0.39668325783636 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664bh1 31311k1 86975j1 3479e1 |
Quadratic twists by: -4 -3 5 -7 |