Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
17430m |
Isogeny class |
Conductor |
17430 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
76880750864400 = 24 · 39 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31749,2133472] |
[a1,a2,a3,a4,a6] |
Generators |
[-154:1914:1] |
Generators of the group modulo torsion |
j |
3539111138359094089/76880750864400 |
j-invariant |
L |
4.5498620383049 |
L(r)(E,1)/r! |
Ω |
0.61106525846406 |
Real period |
R |
1.2409645765553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
52290cp1 87150bx1 122010h1 |
Quadratic twists by: -3 5 -7 |