Atkin-Lehner |
2- 5- 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
107920m |
Isogeny class |
Conductor |
107920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-690688000000 = -1 · 215 · 56 · 19 · 71 |
Discriminant |
Eigenvalues |
2- 2 5- 1 0 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,400,-40000] |
[a1,a2,a3,a4,a6] |
j |
1723683599/168625000 |
j-invariant |
L |
5.1588804158866 |
L(r)(E,1)/r! |
Ω |
0.42990668270764 |
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 |
13490d1 |
Quadratic twists by: -4 |