Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
15312m |
Isogeny class |
Conductor |
15312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
91282749161472 = 215 · 38 · 114 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-23064,1275120] |
[a1,a2,a3,a4,a6] |
j |
331273336732057/22285827432 |
j-invariant |
L |
1.1831801608855 |
L(r)(E,1)/r! |
Ω |
0.59159008044275 |
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 |
1914e3 61248cl3 45936bv3 |
Quadratic twists by: -4 8 -3 |