Atkin-Lehner |
2+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150v |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-10837825880000 = -1 · 26 · 54 · 78 · 47 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ -2 -4 -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1251,159198] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:416:1] |
Generators of the group modulo torsion |
j |
-60025/3008 |
j-invariant |
L |
4.0939836894585 |
L(r)(E,1)/r! |
Ω |
0.59681372672647 |
Real period |
R |
3.4298671989452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000095506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150bj1 115150z1 |
Quadratic twists by: 5 -7 |