Atkin-Lehner |
2+ 5- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
116600j |
Isogeny class |
Conductor |
116600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
44032 |
Modular degree for the optimal curve |
Δ |
-18656000 = -1 · 28 · 53 · 11 · 53 |
Discriminant |
Eigenvalues |
2+ 3 5- 3 11- -5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,65,50] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:100:27] |
Generators of the group modulo torsion |
j |
949104/583 |
j-invariant |
L |
15.084274971892 |
L(r)(E,1)/r! |
Ω |
1.3423532593438 |
Real period |
R |
2.8092968055119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116600v1 |
Quadratic twists by: 5 |