Atkin-Lehner |
2- 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
2976d |
Isogeny class |
Conductor |
2976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
480 |
Modular degree for the optimal curve |
Δ |
-1660608 = -1 · 26 · 33 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 0 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,26,28] |
[a1,a2,a3,a4,a6] |
j |
29218112/25947 |
j-invariant |
L |
1.7344821895329 |
L(r)(E,1)/r! |
Ω |
1.7344821895329 |
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 |
2976c1 5952m2 8928c1 74400ba1 |
Quadratic twists by: -4 8 -3 5 |