Atkin-Lehner |
2- 3+ 7- 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526p |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49728 |
Modular degree for the optimal curve |
Δ |
817929252 = 22 · 37 · 7 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11788,-497527] |
[a1,a2,a3,a4,a6] |
j |
181153361095890625/817929252 |
j-invariant |
L |
4.1236515306782 |
L(r)(E,1)/r! |
Ω |
0.45818350340876 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88578o1 |
Quadratic twists by: -3 |