Atkin-Lehner |
2- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150cc |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
118538720562500 = 22 · 56 · 79 · 47 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- -4 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14113,375717] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1029:1] |
Generators of the group modulo torsion |
j |
493039/188 |
j-invariant |
L |
6.6648394294302 |
L(r)(E,1)/r! |
Ω |
0.53795785091803 |
Real period |
R |
3.0972870157239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999441991 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606g1 115150co1 |
Quadratic twists by: 5 -7 |