Atkin-Lehner |
3+ 7- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
77469f |
Isogeny class |
Conductor |
77469 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
1257533253230373 = 35 · 73 · 17 · 316 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-158568,24177735] |
[a1,a2,a3,a4,a6] |
Generators |
[584710:11187751:1000] |
Generators of the group modulo torsion |
j |
1285524970919434783/3666277706211 |
j-invariant |
L |
9.1916663191755 |
L(r)(E,1)/r! |
Ω |
0.48615356365868 |
Real period |
R |
6.3023065178688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77469z2 |
Quadratic twists by: -7 |