Atkin-Lehner |
2- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700y |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
451584 |
Modular degree for the optimal curve |
Δ |
-3278730568750000 = -1 · 24 · 58 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -6 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,22867,-2419738] |
[a1,a2,a3,a4,a6] |
j |
131072/325 |
j-invariant |
L |
1.3857812512504 |
L(r)(E,1)/r! |
Ω |
0.23096354125687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12740e1 63700p1 |
Quadratic twists by: 5 -7 |