Atkin-Lehner |
2- 3+ 5+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
88350cb |
Isogeny class |
Conductor |
88350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
349431152343750 = 2 · 35 · 513 · 19 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 -1 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-51563,4394531] |
[a1,a2,a3,a4,a6] |
j |
970328403297001/22363593750 |
j-invariant |
L |
2.1531994570143 |
L(r)(E,1)/r! |
Ω |
0.53829986227595 |
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 |
17670i1 |
Quadratic twists by: 5 |