Atkin-Lehner |
2+ 5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61880h |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-3094000 = -1 · 24 · 53 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 3 13+ 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,-475] |
[a1,a2,a3,a4,a6] |
j |
-12043745536/193375 |
j-invariant |
L |
4.3202624201313 |
L(r)(E,1)/r! |
Ω |
0.72004373724899 |
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 |
123760g1 |
Quadratic twists by: -4 |