Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730v |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
499200 |
Modular degree for the optimal curve |
Δ |
7238881089543106250 = 2 · 55 · 138 · 175 |
Discriminant |
Eigenvalues |
2- 0 5+ -1 -1 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-691918,179945731] |
[a1,a2,a3,a4,a6] |
Generators |
[26774:1490565:8] |
Generators of the group modulo torsion |
j |
44909703885969/8874106250 |
j-invariant |
L |
6.8705556393712 |
L(r)(E,1)/r! |
Ω |
0.22326622078781 |
Real period |
R |
6.1545858707403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730m1 |
Quadratic twists by: 13 |