Atkin-Lehner |
3+ 5+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
85425c |
Isogeny class |
Conductor |
85425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-1701826171875 = -1 · 32 · 510 · 172 · 67 |
Discriminant |
Eigenvalues |
0 3+ 5+ 4 0 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-183333,30275318] |
[a1,a2,a3,a4,a6] |
j |
-69782732800000/174267 |
j-invariant |
L |
2.9094528275296 |
L(r)(E,1)/r! |
Ω |
0.72736320902359 |
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 |
85425q1 |
Quadratic twists by: 5 |