Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
28830n |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
5212233360 = 24 · 37 · 5 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7104,229822] |
[a1,a2,a3,a4,a6] |
Generators |
[53:-81:1] |
Generators of the group modulo torsion |
j |
1330637032999/174960 |
j-invariant |
L |
3.8886425912462 |
L(r)(E,1)/r! |
Ω |
1.3113749685316 |
Real period |
R |
0.42361672558085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86490cp1 28830e1 |
Quadratic twists by: -3 -31 |