Atkin-Lehner |
2+ 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
63784g |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
3350149365584896 = 210 · 7 · 178 · 67 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -2 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-37584,319664] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:17144:27] |
Generators of the group modulo torsion |
j |
5733823351927108/3271630239829 |
j-invariant |
L |
9.8761278733641 |
L(r)(E,1)/r! |
Ω |
0.38291888081827 |
Real period |
R |
6.4479243309461 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997338 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568b1 |
Quadratic twists by: -4 |