Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28600l |
Isogeny class |
Conductor |
28600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-237952000 = -1 · 210 · 53 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 11- 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-155,-1050] |
[a1,a2,a3,a4,a6] |
Generators |
[431:8944:1] |
Generators of the group modulo torsion |
j |
-3217428/1859 |
j-invariant |
L |
4.9575600520792 |
L(r)(E,1)/r! |
Ω |
0.65898221213973 |
Real period |
R |
3.7615279750738 |
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 |
57200p1 28600v1 |
Quadratic twists by: -4 5 |