Atkin-Lehner |
2- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114800bo |
Isogeny class |
Conductor |
114800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1175552000000 = -1 · 218 · 56 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1325,-48750] |
[a1,a2,a3,a4,a6] |
Generators |
[76168:949719:512] |
Generators of the group modulo torsion |
j |
4019679/18368 |
j-invariant |
L |
8.1443066637362 |
L(r)(E,1)/r! |
Ω |
0.43719117622018 |
Real period |
R |
9.3143539067689 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999794624 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14350a1 4592c1 |
Quadratic twists by: -4 5 |