Atkin-Lehner |
2+ 5- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
53680j |
Isogeny class |
Conductor |
53680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
-6710000 = -1 · 24 · 54 · 11 · 61 |
Discriminant |
Eigenvalues |
2+ -1 5- 5 11+ -2 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100,-373] |
[a1,a2,a3,a4,a6] |
Generators |
[19:65:1] |
Generators of the group modulo torsion |
j |
-6981350656/419375 |
j-invariant |
L |
5.9888828456506 |
L(r)(E,1)/r! |
Ω |
0.75162164433933 |
Real period |
R |
1.9919872221304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000081 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26840k1 |
Quadratic twists by: -4 |