Atkin-Lehner |
5+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
79135o |
Isogeny class |
Conductor |
79135 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
255610267499825 = 52 · 78 · 173 · 192 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- 0 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6143499,-5861512303] |
[a1,a2,a3,a4,a6] |
j |
217962984621942385561/2172651425 |
j-invariant |
L |
0.57536956116492 |
L(r)(E,1)/r! |
Ω |
0.095894923145524 |
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 |
11305h1 |
Quadratic twists by: -7 |