Atkin-Lehner |
7- 23+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
66493c |
Isogeny class |
Conductor |
66493 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42336 |
Modular degree for the optimal curve |
Δ |
-3671942939 = -1 · 76 · 232 · 59 |
Discriminant |
Eigenvalues |
-1 -1 3 7- 0 -4 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2549,48558] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-26:1] |
Generators of the group modulo torsion |
j |
-15568817473/31211 |
j-invariant |
L |
2.9243739134899 |
L(r)(E,1)/r! |
Ω |
1.402999898703 |
Real period |
R |
1.0421860740765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000264 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1357a1 |
Quadratic twists by: -7 |