Atkin-Lehner |
2+ 3+ 17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123624a |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
387840 |
Modular degree for the optimal curve |
Δ |
7929753679872 = 211 · 33 · 175 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 -6 2 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16755,-823698] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3468:1] |
Generators of the group modulo torsion |
j |
9407263137750/143405557 |
j-invariant |
L |
7.8020618513076 |
L(r)(E,1)/r! |
Ω |
0.42001476997701 |
Real period |
R |
1.8575684592418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999488054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123624k1 |
Quadratic twists by: -3 |