Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
63700m |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3214080 |
Modular degree for the optimal curve |
Δ |
-1065587434843750000 = -1 · 24 · 510 · 79 · 132 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 1 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36453958,84728109537] |
[a1,a2,a3,a4,a6] |
Generators |
[3456:3087:1] |
Generators of the group modulo torsion |
j |
-291440245830400/57967 |
j-invariant |
L |
9.8667362231941 |
L(r)(E,1)/r! |
Ω |
0.21844002106083 |
Real period |
R |
1.8820452739089 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000721 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700bt1 9100e1 |
Quadratic twists by: 5 -7 |