Atkin-Lehner |
2- 3+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
7854l |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
160443506916 = 22 · 34 · 72 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2202,-35709] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3833:1] |
Generators of the group modulo torsion |
j |
1180831643443873/160443506916 |
j-invariant |
L |
5.8917294159769 |
L(r)(E,1)/r! |
Ω |
0.70321140407191 |
Real period |
R |
4.1891594631864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62832bv2 23562i2 54978cc2 86394r2 |
Quadratic twists by: -4 -3 -7 -11 |