Atkin-Lehner |
2- 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
112560ck |
Isogeny class |
Conductor |
112560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
37707600 = 24 · 3 · 52 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31421,2133330] |
[a1,a2,a3,a4,a6] |
Generators |
[196428:359857:1728] |
Generators of the group modulo torsion |
j |
214426056875966464/2356725 |
j-invariant |
L |
8.9148349856443 |
L(r)(E,1)/r! |
Ω |
1.4401207476361 |
Real period |
R |
6.1903385412345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28140a1 |
Quadratic twists by: -4 |