Atkin-Lehner |
2+ 3- 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
61320n |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
238784082969600 = 210 · 36 · 52 · 74 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47936,-3986640] |
[a1,a2,a3,a4,a6] |
j |
11896472099296516/233187581025 |
j-invariant |
L |
3.8764289044787 |
L(r)(E,1)/r! |
Ω |
0.32303574194655 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
122640d2 |
Quadratic twists by: -4 |