Atkin-Lehner |
2- 3+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
57798ba |
Isogeny class |
Conductor |
57798 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
1467648 |
Modular degree for the optimal curve |
Δ |
-192237585548156928 = -1 · 213 · 39 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 5 5 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-541001,-154470455] |
[a1,a2,a3,a4,a6] |
j |
-184317154371/2023424 |
j-invariant |
L |
4.5739283327329 |
L(r)(E,1)/r! |
Ω |
0.087960160345128 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57798b1 4446c1 |
Quadratic twists by: -3 13 |