Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
59976l |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-211635107921664 = -1 · 28 · 310 · 77 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12201,-469910] |
[a1,a2,a3,a4,a6] |
Generators |
[1330:19845:8] |
Generators of the group modulo torsion |
j |
9148592/9639 |
j-invariant |
L |
8.0857224147488 |
L(r)(E,1)/r! |
Ω |
0.3045081106386 |
Real period |
R |
3.3191736657204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000136 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952x1 19992ba1 8568g1 |
Quadratic twists by: -4 -3 -7 |