Atkin-Lehner |
2- 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cl |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1016064 |
Modular degree for the optimal curve |
Δ |
26999526367187500 = 22 · 513 · 76 · 47 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 1 -5 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-119463,-13836719] |
[a1,a2,a3,a4,a6] |
j |
102568953241/14687500 |
j-invariant |
L |
2.0739869922116 |
L(r)(E,1)/r! |
Ω |
0.25924831134868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030d1 2350i1 |
Quadratic twists by: 5 -7 |