Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53312k |
Isogeny class |
Conductor |
53312 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-210456869985058816 = -1 · 231 · 78 · 17 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ 6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26068,-22012368] |
[a1,a2,a3,a4,a6] |
j |
1296351/139264 |
j-invariant |
L |
1.7993261588551 |
L(r)(E,1)/r! |
Ω |
0.14994384652561 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53312bp1 1666i1 53312m1 |
Quadratic twists by: -4 8 -7 |