Atkin-Lehner |
2- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
39050o |
Isogeny class |
Conductor |
39050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
167792968750 = 2 · 510 · 112 · 71 |
Discriminant |
Eigenvalues |
2- -1 5+ -3 11- 1 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7438,-249219] |
[a1,a2,a3,a4,a6] |
Generators |
[-410:401:8] |
Generators of the group modulo torsion |
j |
2912566550041/10738750 |
j-invariant |
L |
6.2645514118032 |
L(r)(E,1)/r! |
Ω |
0.51419933158232 |
Real period |
R |
3.0457796359464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7810a1 |
Quadratic twists by: 5 |