Atkin-Lehner |
2- 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69828ba |
Isogeny class |
Conductor |
69828 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
589459942455614208 = 28 · 35 · 112 · 238 |
Discriminant |
Eigenvalues |
2- 3- 4 0 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-730196,-237549468] |
[a1,a2,a3,a4,a6] |
j |
1136150003536/15554187 |
j-invariant |
L |
4.903664684013 |
L(r)(E,1)/r! |
Ω |
0.16345548978695 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3036j2 |
Quadratic twists by: -23 |