Atkin-Lehner |
2+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15730f |
Isogeny class |
Conductor |
15730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-47030426183669500 = -1 · 22 · 53 · 117 · 136 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-173759,29752446] |
[a1,a2,a3,a4,a6] |
j |
-327495950129089/26547449500 |
j-invariant |
L |
0.70219100415541 |
L(r)(E,1)/r! |
Ω |
0.3510955020777 |
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 |
125840bn3 78650cm3 1430g3 |
Quadratic twists by: -4 5 -11 |