Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
91200es |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3989088000000000 = -1 · 214 · 38 · 59 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 6 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37167,-1263537] |
[a1,a2,a3,a4,a6] |
j |
177433072/124659 |
j-invariant |
L |
3.9725179810505 |
L(r)(E,1)/r! |
Ω |
0.24828237612704 |
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 |
91200gu2 11400bc2 91200ce2 |
Quadratic twists by: -4 8 5 |