Atkin-Lehner |
2- 3- 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
10710ba |
Isogeny class |
Conductor |
10710 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-2632584432844800000 = -1 · 220 · 39 · 55 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,118417,76442231] |
[a1,a2,a3,a4,a6] |
j |
251907898698209879/3611226931200000 |
j-invariant |
L |
3.7994113794446 |
L(r)(E,1)/r! |
Ω |
0.18997056897223 |
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 |
85680es1 3570m1 53550br1 74970do1 |
Quadratic twists by: -4 -3 5 -7 |