Atkin-Lehner |
2- 3+ 5+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
28290o |
Isogeny class |
Conductor |
28290 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1137588922279526400 = 218 · 32 · 52 · 234 · 413 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -2 -6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-464336,110253233] |
[a1,a2,a3,a4,a6] |
Generators |
[-651:12037:1] [-549:14419:1] |
Generators of the group modulo torsion |
j |
11071866437148013970689/1137588922279526400 |
j-invariant |
L |
9.0916767517427 |
L(r)(E,1)/r! |
Ω |
0.2666757480968 |
Real period |
R |
0.15783623510306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84870i1 |
Quadratic twists by: -3 |