Atkin-Lehner |
2+ 3- 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120s |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-112513948646400 = -1 · 210 · 310 · 52 · 74 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -6 2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1653,509686] |
[a1,a2,a3,a4,a6] |
j |
669136604/150722775 |
j-invariant |
L |
1.8323360192589 |
L(r)(E,1)/r! |
Ω |
0.45808400300034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26040r1 |
Quadratic twists by: -3 |