Atkin-Lehner |
2+ 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
115600q |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
1670420000000 = 28 · 57 · 174 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 5 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9633,-355363] |
[a1,a2,a3,a4,a6] |
j |
295936/5 |
j-invariant |
L |
5.78870841067 |
L(r)(E,1)/r! |
Ω |
0.48239239434682 |
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 |
57800k1 23120m1 115600l1 |
Quadratic twists by: -4 5 17 |