Atkin-Lehner |
3+ 5- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
31755a |
Isogeny class |
Conductor |
31755 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
3515814365625 = 312 · 55 · 29 · 73 |
Discriminant |
Eigenvalues |
1 3+ 5- 4 0 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-137582,-19699449] |
[a1,a2,a3,a4,a6] |
j |
288013934194661992681/3515814365625 |
j-invariant |
L |
2.4789002835318 |
L(r)(E,1)/r! |
Ω |
0.2478900283533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95265e1 |
Quadratic twists by: -3 |