Atkin-Lehner |
2- 3+ 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
104370cm |
Isogeny class |
Conductor |
104370 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-32876550 = -1 · 2 · 33 · 52 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 6 -6 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-106,-547] |
[a1,a2,a3,a4,a6] |
j |
-384240583/95850 |
j-invariant |
L |
2.9370875421019 |
L(r)(E,1)/r! |
Ω |
0.73427195068623 |
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 |
104370du1 |
Quadratic twists by: -7 |