Atkin-Lehner |
2+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
10472d |
Isogeny class |
Conductor |
10472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-30329592832 = -1 · 210 · 7 · 114 · 172 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- -4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,352,7868] |
[a1,a2,a3,a4,a6] |
j |
4696965500/29618743 |
j-invariant |
L |
3.4069327935641 |
L(r)(E,1)/r! |
Ω |
0.85173319839102 |
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 |
20944b1 83776m1 94248z1 73304q1 |
Quadratic twists by: -4 8 -3 -7 |