Atkin-Lehner |
2+ 5+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
20150c |
Isogeny class |
Conductor |
20150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145600 |
Modular degree for the optimal curve |
Δ |
-178406286500000 = -1 · 25 · 56 · 135 · 312 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-352626,80570148] |
[a1,a2,a3,a4,a6] |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
1.0675153095514 |
L(r)(E,1)/r! |
Ω |
0.5337576547757 |
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 |
806f1 |
Quadratic twists by: 5 |