Atkin-Lehner |
2+ 3+ 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49590j |
Isogeny class |
Conductor |
49590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
297540 = 22 · 33 · 5 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-174,928] |
[a1,a2,a3,a4,a6] |
Generators |
[9:1:1] |
Generators of the group modulo torsion |
j |
21647657403/11020 |
j-invariant |
L |
4.4491101285078 |
L(r)(E,1)/r! |
Ω |
3.0307952615531 |
Real period |
R |
1.4679678911157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49590bc1 |
Quadratic twists by: -3 |