Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cb |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
80704868400 = 24 · 35 · 52 · 132 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 0 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-352535,-80712835] |
[a1,a2,a3,a4,a6] |
Generators |
[6094:74299:8] |
Generators of the group modulo torsion |
j |
986242575565963457/16426800 |
j-invariant |
L |
7.6648479788667 |
L(r)(E,1)/r! |
Ω |
0.19592912029504 |
Real period |
R |
4.8900642811169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000047729 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710co2 |
Quadratic twists by: 17 |