Atkin-Lehner |
2- 3+ 7- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
22134bb |
Isogeny class |
Conductor |
22134 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
8499456 = 28 · 32 · 7 · 17 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-697,6791] |
[a1,a2,a3,a4,a6] |
Generators |
[17:6:1] |
Generators of the group modulo torsion |
j |
37450790494993/8499456 |
j-invariant |
L |
8.306934114482 |
L(r)(E,1)/r! |
Ω |
2.2623471460419 |
Real period |
R |
0.91795528915794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66402j1 |
Quadratic twists by: -3 |