Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
10736c |
Isogeny class |
Conductor |
10736 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-157185776 = -1 · 24 · 115 · 61 |
Discriminant |
Eigenvalues |
2+ -1 -2 -3 11+ 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-764,-7901] |
[a1,a2,a3,a4,a6] |
Generators |
[195:2687:1] |
Generators of the group modulo torsion |
j |
-3086399425792/9824111 |
j-invariant |
L |
2.4284583021192 |
L(r)(E,1)/r! |
Ω |
0.45390616687236 |
Real period |
R |
5.3501328674438 |
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 |
5368d1 42944z1 96624m1 118096l1 |
Quadratic twists by: -4 8 -3 -11 |