Atkin-Lehner |
2- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
113680bm |
Isogeny class |
Conductor |
113680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
427978826240000 = 212 · 54 · 78 · 29 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 0 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-118400,-15610048] |
[a1,a2,a3,a4,a6] |
j |
380920459249/888125 |
j-invariant |
L |
4.1185292894405 |
L(r)(E,1)/r! |
Ω |
0.25740807533218 |
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 |
7105b2 16240k2 |
Quadratic twists by: -4 -7 |