Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150bn |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-17632343750000 = -1 · 24 · 510 · 74 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 0 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-31263,-2150219] |
[a1,a2,a3,a4,a6] |
Generators |
[209:602:1] |
Generators of the group modulo torsion |
j |
-144120025/752 |
j-invariant |
L |
8.4518543121506 |
L(r)(E,1)/r! |
Ω |
0.17946357103719 |
Real period |
R |
3.9245914216899 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150s1 115150bs1 |
Quadratic twists by: 5 -7 |