Atkin-Lehner |
2+ 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010bf |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
16606242186710400 = 27 · 312 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69410878,-222587464144] |
[a1,a2,a3,a4,a6] |
j |
314353338448506783273289/141150729600 |
j-invariant |
L |
2.5106364011125 |
L(r)(E,1)/r! |
Ω |
0.052304935508186 |
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 |
2490c3 |
Quadratic twists by: -7 |