Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12650i |
Isogeny class |
Conductor |
12650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6577011718750 = -1 · 2 · 510 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4558,33466] |
[a1,a2,a3,a4,a6] |
j |
670151588751/420928750 |
j-invariant |
L |
1.8625139414628 |
L(r)(E,1)/r! |
Ω |
0.4656284853657 |
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 |
101200be3 113850ej3 2530j4 |
Quadratic twists by: -4 -3 5 |