Atkin-Lehner |
2+ 3- 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070h |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-36333360000000 = -1 · 210 · 36 · 57 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 5 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-26685,-1696059] |
[a1,a2,a3,a4,a6] |
Generators |
[7722:674523:1] |
Generators of the group modulo torsion |
j |
-2882749860542161/49840000000 |
j-invariant |
L |
4.5767048273646 |
L(r)(E,1)/r! |
Ω |
0.18657623838493 |
Real period |
R |
6.1324861985171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997759 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230g1 |
Quadratic twists by: -3 |