Atkin-Lehner |
2+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150b |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.2351120006161E+19 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,439750,-249393500] |
[a1,a2,a3,a4,a6] |
Generators |
[3620:219090:1] [2304:112870:1] |
Generators of the group modulo torsion |
j |
250684526132159/862337226320 |
j-invariant |
L |
7.4137187207579 |
L(r)(E,1)/r! |
Ω |
0.10592799153812 |
Real period |
R |
1.4580893217828 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000614 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030t2 115150g2 |
Quadratic twists by: 5 -7 |