Atkin-Lehner |
2- 3+ 5- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39270cc |
Isogeny class |
Conductor |
39270 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
327680 |
Modular degree for the optimal curve |
Δ |
-13914727671398400 = -1 · 232 · 32 · 52 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,45650,-4237333] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1591:1] |
Generators of the group modulo torsion |
j |
10520720018462253599/13914727671398400 |
j-invariant |
L |
7.9279899287279 |
L(r)(E,1)/r! |
Ω |
0.21150249357611 |
Real period |
R |
2.3427590009341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
117810s1 |
Quadratic twists by: -3 |