Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ee |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-361746137088 = -1 · 222 · 32 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 4 4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3073,70655] |
[a1,a2,a3,a4,a6] |
j |
-12246522625/1379952 |
j-invariant |
L |
3.719364793905 |
L(r)(E,1)/r! |
Ω |
0.92984119849858 |
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 |
49728v1 12432w1 |
Quadratic twists by: -4 8 |