Atkin-Lehner |
2- 3- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
29526w |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
50112 |
Modular degree for the optimal curve |
Δ |
7916747328 = 26 · 33 · 73 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7088,229056] |
[a1,a2,a3,a4,a6] |
j |
39382081648890625/7916747328 |
j-invariant |
L |
3.8308100482205 |
L(r)(E,1)/r! |
Ω |
1.2769366827409 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
88578t1 |
Quadratic twists by: -3 |