Atkin-Lehner |
5+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60515f |
Isogeny class |
Conductor |
60515 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6784 |
Modular degree for the optimal curve |
Δ |
2118025 = 52 · 73 · 13 · 19 |
Discriminant |
Eigenvalues |
-1 0 5+ 7- 2 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48,-94] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:6:1] |
Generators of the group modulo torsion |
j |
34965783/6175 |
j-invariant |
L |
3.1941716529654 |
L(r)(E,1)/r! |
Ω |
1.8387525128558 |
Real period |
R |
1.7371406051559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60515k1 |
Quadratic twists by: -7 |