Atkin-Lehner |
2- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118496h |
Isogeny class |
Conductor |
118496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
1525361800256 = 26 · 7 · 237 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28742,-1884200] |
[a1,a2,a3,a4,a6] |
Generators |
[-169332:52615:1728] |
Generators of the group modulo torsion |
j |
277167808/161 |
j-invariant |
L |
6.1957270373237 |
L(r)(E,1)/r! |
Ω |
0.36667744039412 |
Real period |
R |
8.4484704425767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004947 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118496k1 5152f1 |
Quadratic twists by: -4 -23 |