Atkin-Lehner |
2+ 3- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
35190ba |
Isogeny class |
Conductor |
35190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
179712 |
Modular degree for the optimal curve |
Δ |
-8976676219200 = -1 · 26 · 315 · 52 · 17 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 3 5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-33669,-2373867] |
[a1,a2,a3,a4,a6] |
Generators |
[282:3099:1] |
Generators of the group modulo torsion |
j |
-5790207030877009/12313684800 |
j-invariant |
L |
4.2531280516817 |
L(r)(E,1)/r! |
Ω |
0.17620006291181 |
Real period |
R |
3.0172577561808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11730l1 |
Quadratic twists by: -3 |