Atkin-Lehner |
2- 7- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
68894be |
Isogeny class |
Conductor |
68894 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
389160258920678 = 2 · 79 · 194 · 37 |
Discriminant |
Eigenvalues |
2- -2 4 7- 4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-132791,-18612077] |
[a1,a2,a3,a4,a6] |
Generators |
[2282356770450:-43653130963837:3723875000] |
Generators of the group modulo torsion |
j |
6417228161287/9643754 |
j-invariant |
L |
9.2348507862835 |
L(r)(E,1)/r! |
Ω |
0.25011893674477 |
Real period |
R |
18.460918844919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68894v2 |
Quadratic twists by: -7 |