Atkin-Lehner |
2- 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
1430h |
Isogeny class |
Conductor |
1430 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-199306463150080 = -1 · 220 · 5 · 113 · 134 |
Discriminant |
Eigenvalues |
2- 0 5- 0 11+ 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57547,5371099] |
[a1,a2,a3,a4,a6] |
j |
-21075830718885163521/199306463150080 |
j-invariant |
L |
2.8378549968151 |
L(r)(E,1)/r! |
Ω |
0.56757099936302 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11440s1 45760e1 12870m1 7150a1 |
Quadratic twists by: -4 8 -3 5 |