Atkin-Lehner |
2- 7- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12236f |
Isogeny class |
Conductor |
12236 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
1125712 = 24 · 7 · 19 · 232 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 -2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:3:1] |
Generators of the group modulo torsion |
j |
971882496/70357 |
j-invariant |
L |
2.856223365869 |
L(r)(E,1)/r! |
Ω |
1.7859859174858 |
Real period |
R |
1.0661612120995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48944h1 110124s1 85652c1 |
Quadratic twists by: -4 -3 -7 |