Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bw |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
1478904791795200 = 29 · 52 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-35697,-1835819] |
[a1,a2,a3,a4,a6] |
j |
57954303169/17036800 |
j-invariant |
L |
1.4206812652796 |
L(r)(E,1)/r! |
Ω |
0.3551703163735 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290c1 5390bi1 |
Quadratic twists by: -7 -11 |