Atkin-Lehner |
2- 17- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
29716c |
Isogeny class |
Conductor |
29716 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
31968 |
Modular degree for the optimal curve |
Δ |
-3206627766512 = -1 · 24 · 176 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 0 2 0 5 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3098,107729] |
[a1,a2,a3,a4,a6] |
j |
-205583448928000/200414235407 |
j-invariant |
L |
2.9051529693799 |
L(r)(E,1)/r! |
Ω |
0.72628824234503 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118864j1 |
Quadratic twists by: -4 |