Atkin-Lehner |
2- 7- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
127568bd |
Isogeny class |
Conductor |
127568 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
5331909689344 = 214 · 75 · 172 · 67 |
Discriminant |
Eigenvalues |
2- -1 -3 7- -4 5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26432,1659136] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:1568:1] [-46:1666:1] |
Generators of the group modulo torsion |
j |
498620662731073/1301735764 |
j-invariant |
L |
8.3678314217935 |
L(r)(E,1)/r! |
Ω |
0.76610938981781 |
Real period |
R |
0.27306255259688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946e1 |
Quadratic twists by: -4 |