Atkin-Lehner |
2+ 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
33550j |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
209687500000 = 25 · 510 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 11- 5 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1792,19616] |
[a1,a2,a3,a4,a6] |
Generators |
[273:1201:27] |
Generators of the group modulo torsion |
j |
40743095121/13420000 |
j-invariant |
L |
7.8146970890178 |
L(r)(E,1)/r! |
Ω |
0.92234319023078 |
Real period |
R |
4.2363282841945 |
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 |
6710i1 |
Quadratic twists by: 5 |