Atkin-Lehner |
2- 5+ 7+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350bd |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
32052001953125000 = 23 · 516 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-213563,-37086719] |
[a1,a2,a3,a4,a6] |
j |
68941678367698921/2051328125000 |
j-invariant |
L |
5.3397337782508 |
L(r)(E,1)/r! |
Ω |
0.22248892921533 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870h2 |
Quadratic twists by: 5 |