Atkin-Lehner |
2+ 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
29070m |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
85497044454604800 = 220 · 312 · 52 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-116460,6037200] |
[a1,a2,a3,a4,a6] |
j |
239623075960954561/117279896371200 |
j-invariant |
L |
1.211142056119 |
L(r)(E,1)/r! |
Ω |
0.30278551402973 |
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 |
9690x1 |
Quadratic twists by: -3 |