Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
63700bg |
Isogeny class |
Conductor |
63700 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-12984608000 = -1 · 28 · 53 · 74 · 132 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 2 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,572,1352] |
[a1,a2,a3,a4,a6] |
Generators |
[26:182:1] [2:50:1] |
Generators of the group modulo torsion |
j |
268912/169 |
j-invariant |
L |
8.8386747750032 |
L(r)(E,1)/r! |
Ω |
0.78249049125091 |
Real period |
R |
0.31376578564862 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63700be1 63700bk1 |
Quadratic twists by: 5 -7 |