Atkin-Lehner |
2- 3+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
49818u |
Isogeny class |
Conductor |
49818 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
287748768 = 25 · 3 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 2 0 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-643] |
[a1,a2,a3,a4,a6] |
Generators |
[17:29:1] |
Generators of the group modulo torsion |
j |
5640625/2208 |
j-invariant |
L |
8.0984076793981 |
L(r)(E,1)/r! |
Ω |
1.3331195414716 |
Real period |
R |
0.40498532089541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999701 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49818m1 |
Quadratic twists by: -19 |