Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976o |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-27653654101764096 = -1 · 211 · 39 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 3 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-8000818] |
[a1,a2,a3,a4,a6] |
j |
-2/157437 |
j-invariant |
L |
2.7466227552173 |
L(r)(E,1)/r! |
Ω |
0.17166392219995 |
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 |
119952be1 19992t1 8568b1 |
Quadratic twists by: -4 -3 -7 |