Atkin-Lehner |
5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
29645m |
Isogeny class |
Conductor |
29645 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-1174920488809375 = -1 · 55 · 710 · 113 |
Discriminant |
Eigenvalues |
1 2 5- 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,26288,-157989] |
[a1,a2,a3,a4,a6] |
Generators |
[246:6477:8] |
Generators of the group modulo torsion |
j |
12829337821/7503125 |
j-invariant |
L |
9.8313870851124 |
L(r)(E,1)/r! |
Ω |
0.28706467348411 |
Real period |
R |
3.4247986580127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4235a1 29645n1 |
Quadratic twists by: -7 -11 |