Atkin-Lehner |
2+ 3+ 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32718c |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-1072103424 = -1 · 216 · 3 · 7 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,256,0] |
[a1,a2,a3,a4,a6] |
j |
1844124275447/1072103424 |
j-invariant |
L |
1.8378719875543 |
L(r)(E,1)/r! |
Ω |
0.91893599377557 |
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 |
98154cc1 |
Quadratic twists by: -3 |