Atkin-Lehner |
2- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
40670l |
Isogeny class |
Conductor |
40670 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
305760 |
Modular degree for the optimal curve |
Δ |
1196196207500000 = 25 · 57 · 78 · 83 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -1 6 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-29891,1077313] |
[a1,a2,a3,a4,a6] |
Generators |
[167:798:1] |
Generators of the group modulo torsion |
j |
512343975409/207500000 |
j-invariant |
L |
12.817372078496 |
L(r)(E,1)/r! |
Ω |
0.44138057504621 |
Real period |
R |
1.9359516938649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40670ba1 |
Quadratic twists by: -7 |