Atkin-Lehner |
2- 5- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
6230h |
Isogeny class |
Conductor |
6230 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-9768640 = -1 · 26 · 5 · 73 · 89 |
Discriminant |
Eigenvalues |
2- -2 5- 7- -1 -2 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,50,-60] |
[a1,a2,a3,a4,a6] |
Generators |
[2:6:1] |
Generators of the group modulo torsion |
j |
13806727199/9768640 |
j-invariant |
L |
4.5342130610616 |
L(r)(E,1)/r! |
Ω |
1.2945011599487 |
Real period |
R |
0.19459289292913 |
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 |
49840r1 56070j1 31150d1 43610u1 |
Quadratic twists by: -4 -3 5 -7 |