Atkin-Lehner |
2- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
94400cf |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-18880000000000 = -1 · 215 · 510 · 59 |
Discriminant |
Eigenvalues |
2- -2 5+ -3 5 5 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-209537] |
[a1,a2,a3,a4,a6] |
j |
-200/59 |
j-invariant |
L |
1.2304027619822 |
L(r)(E,1)/r! |
Ω |
0.30760067442663 |
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 |
94400cv1 47200v1 94400df1 |
Quadratic twists by: -4 8 5 |