Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74970bd |
Isogeny class |
Conductor |
74970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
1343714970931200 = 212 · 38 · 52 · 76 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-44550,3171636] |
[a1,a2,a3,a4,a6] |
j |
114013572049/15667200 |
j-invariant |
L |
1.8535269876423 |
L(r)(E,1)/r! |
Ω |
0.46338174223465 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990cd1 1530f1 |
Quadratic twists by: -3 -7 |