Atkin-Lehner |
3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
97461x |
Isogeny class |
Conductor |
97461 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
246406065633 = 36 · 76 · 132 · 17 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 6 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26249,1643240] |
[a1,a2,a3,a4,a6] |
Generators |
[118:363:1] |
Generators of the group modulo torsion |
j |
23320116793/2873 |
j-invariant |
L |
5.412779861999 |
L(r)(E,1)/r! |
Ω |
0.94972793513223 |
Real period |
R |
2.8496475954374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10829b1 1989c1 |
Quadratic twists by: -3 -7 |