Atkin-Lehner |
2- 3- 7- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
29526u |
Isogeny class |
Conductor |
29526 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
137088 |
Modular degree for the optimal curve |
Δ |
135949656833424 = 24 · 314 · 7 · 193 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-34094,-2360076] |
[a1,a2,a3,a4,a6] |
j |
4382867875112457697/135949656833424 |
j-invariant |
L |
4.9281357025406 |
L(r)(E,1)/r! |
Ω |
0.35200969303854 |
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 |
88578m1 |
Quadratic twists by: -3 |