Atkin-Lehner |
5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60775m |
Isogeny class |
Conductor |
60775 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
-20770870774671875 = -1 · 56 · 115 · 134 · 172 |
Discriminant |
Eigenvalues |
0 -1 5+ -2 11- 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-250783,-48750032] |
[a1,a2,a3,a4,a6] |
Generators |
[746:13370:1] |
Generators of the group modulo torsion |
j |
-111634825505112064/1329335729579 |
j-invariant |
L |
3.0902876228815 |
L(r)(E,1)/r! |
Ω |
0.10659501919441 |
Real period |
R |
0.72477298796608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2431a1 |
Quadratic twists by: 5 |