Atkin-Lehner |
2- 3+ 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
123600v |
Isogeny class |
Conductor |
123600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-432501120000000 = -1 · 213 · 38 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -5 3 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17592,435312] |
[a1,a2,a3,a4,a6] |
j |
9407293631/6757830 |
j-invariant |
L |
2.6916317763017 |
L(r)(E,1)/r! |
Ω |
0.33645394823413 |
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 |
15450p1 24720t1 |
Quadratic twists by: -4 5 |