Atkin-Lehner |
3- 5+ 19- 83- |
Signs for the Atkin-Lehner involutions |
Class |
70965g |
Isogeny class |
Conductor |
70965 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
2075087565 = 36 · 5 · 193 · 83 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 0 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-333,-817] |
[a1,a2,a3,a4,a6] |
j |
5601816576/2846485 |
j-invariant |
L |
3.5385296343566 |
L(r)(E,1)/r! |
Ω |
1.1795098814332 |
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 |
7885b1 |
Quadratic twists by: -3 |