Atkin-Lehner |
2- 7- 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
63784n |
Isogeny class |
Conductor |
63784 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41088 |
Modular degree for the optimal curve |
Δ |
589874432 = 28 · 7 · 173 · 67 |
Discriminant |
Eigenvalues |
2- -2 -4 7- -3 -7 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,499] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:-34:1] [-10:43:1] |
Generators of the group modulo torsion |
j |
4942652416/2304197 |
j-invariant |
L |
5.011953717765 |
L(r)(E,1)/r! |
Ω |
1.458828603981 |
Real period |
R |
0.57260024744881 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127568k1 |
Quadratic twists by: -4 |