Atkin-Lehner |
7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42959i |
Isogeny class |
Conductor |
42959 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11097552614317589 = 7 · 173 · 199 |
Discriminant |
Eigenvalues |
0 2 -3 7- 0 1 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-121777,15592295] |
[a1,a2,a3,a4,a6] |
Generators |
[-6945:147455:27] |
Generators of the group modulo torsion |
j |
4245232549888/235887869 |
j-invariant |
L |
5.232498425537 |
L(r)(E,1)/r! |
Ω |
0.39816211661178 |
Real period |
R |
3.2854070033471 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2261e2 |
Quadratic twists by: -19 |