Atkin-Lehner |
2- 5- 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8510h |
Isogeny class |
Conductor |
8510 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
92720206572704000 = 28 · 53 · 238 · 37 |
Discriminant |
Eigenvalues |
2- 0 5- 4 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6320497,-6114507231] |
[a1,a2,a3,a4,a6] |
j |
27923981158186969036692321/92720206572704000 |
j-invariant |
L |
4.5703880609527 |
L(r)(E,1)/r! |
Ω |
0.095216417936514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68080t4 76590u4 42550f4 |
Quadratic twists by: -4 -3 5 |