Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60760a |
Isogeny class |
Conductor |
60760 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88704 |
Modular degree for the optimal curve |
Δ |
-9149892147200 = -1 · 211 · 52 · 78 · 31 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ -4 3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1944,141100] |
[a1,a2,a3,a4,a6] |
Generators |
[33:490:1] |
Generators of the group modulo torsion |
j |
68782/775 |
j-invariant |
L |
3.701447483483 |
L(r)(E,1)/r! |
Ω |
0.53826974994551 |
Real period |
R |
1.1460943401946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121520a1 60760k1 |
Quadratic twists by: -4 -7 |