Atkin-Lehner |
2- 7- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60088i |
Isogeny class |
Conductor |
60088 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-753743872 = -1 · 211 · 73 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 0 7- 5 -2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,85,1286] |
[a1,a2,a3,a4,a6] |
Generators |
[10:56:1] |
Generators of the group modulo torsion |
j |
33162750/368039 |
j-invariant |
L |
6.2624176444941 |
L(r)(E,1)/r! |
Ω |
1.1780880794521 |
Real period |
R |
1.7719155167486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000417 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120176b1 |
Quadratic twists by: -4 |