Atkin-Lehner |
2- 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
115440ct |
Isogeny class |
Conductor |
115440 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5157094789522391040 = 223 · 312 · 5 · 132 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 13- 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-990696,-363804876] |
[a1,a2,a3,a4,a6] |
j |
26253392471952340969/1259056345098240 |
j-invariant |
L |
3.6426314912424 |
L(r)(E,1)/r! |
Ω |
0.15177626215646 |
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 |
14430g2 |
Quadratic twists by: -4 |