Atkin-Lehner |
2- 5- 37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
60680k |
Isogeny class |
Conductor |
60680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1941760 = 28 · 5 · 37 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -6 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2527,-48894] |
[a1,a2,a3,a4,a6] |
Generators |
[71:360:1] |
Generators of the group modulo torsion |
j |
6971070463056/7585 |
j-invariant |
L |
2.6343603012899 |
L(r)(E,1)/r! |
Ω |
0.67336148594436 |
Real period |
R |
3.9122527143883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121360k1 |
Quadratic twists by: -4 |