Atkin-Lehner |
2- 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
34476h |
Isogeny class |
Conductor |
34476 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
58032 |
Modular degree for the optimal curve |
Δ |
-665636268336 = -1 · 24 · 3 · 138 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -3 4 1 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11717,493674] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:304:1] |
Generators of the group modulo torsion |
j |
-13631488/51 |
j-invariant |
L |
4.7677790045039 |
L(r)(E,1)/r! |
Ω |
0.9126097138837 |
Real period |
R |
5.2243351478416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103428m1 34476g1 |
Quadratic twists by: -3 13 |