Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
51376v |
Isogeny class |
Conductor |
51376 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-69430585182912512 = -1 · 221 · 136 · 193 |
Discriminant |
Eigenvalues |
2- -1 0 -1 -6 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,25632,-12587264] |
[a1,a2,a3,a4,a6] |
Generators |
[528:12160:1] |
Generators of the group modulo torsion |
j |
94196375/3511808 |
j-invariant |
L |
3.2497243339802 |
L(r)(E,1)/r! |
Ω |
0.16677446333191 |
Real period |
R |
1.6238119179211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6422f2 304b2 |
Quadratic twists by: -4 13 |