Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150k |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
5066880 |
Modular degree for the optimal curve |
Δ |
-1.5172956232E+20 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 -2 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1210326,-783612952] |
[a1,a2,a3,a4,a6] |
Generators |
[1376:11831:1] [3618:203617:1] |
Generators of the group modulo torsion |
j |
-497562775/385024 |
j-invariant |
L |
5.5020984419964 |
L(r)(E,1)/r! |
Ω |
0.069643412603194 |
Real period |
R |
39.501930137991 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000006454 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cx1 115150q1 |
Quadratic twists by: 5 -7 |