Atkin-Lehner |
3+ 7- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
114807j |
Isogeny class |
Conductor |
114807 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-5788683747 = -1 · 32 · 77 · 11 · 71 |
Discriminant |
Eigenvalues |
2 3+ 2 7- 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,278,-3291] |
[a1,a2,a3,a4,a6] |
Generators |
[138:633:8] |
Generators of the group modulo torsion |
j |
20123648/49203 |
j-invariant |
L |
13.024107656646 |
L(r)(E,1)/r! |
Ω |
0.69700219568707 |
Real period |
R |
2.3357364645374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000078327 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16401d1 |
Quadratic twists by: -7 |