Atkin-Lehner |
2- 3+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690bm |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-2.1956743641893E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9342220,13096493357] |
[a1,a2,a3,a4,a6] |
Generators |
[-403:129801:1] |
Generators of the group modulo torsion |
j |
-3735772816268612449/909650165760000 |
j-invariant |
L |
8.3377038396931 |
L(r)(E,1)/r! |
Ω |
0.11505006876561 |
Real period |
R |
1.5097962581814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3570v1 |
Quadratic twists by: 17 |