Atkin-Lehner |
2- 3+ 7+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
60606x |
Isogeny class |
Conductor |
60606 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2520675532256310702 = 2 · 33 · 72 · 135 · 376 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 4 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11903537,-15804301165] |
[a1,a2,a3,a4,a6] |
Generators |
[-43650740:14141625:21952] |
Generators of the group modulo torsion |
j |
6908567296147947198654003/93358353046530026 |
j-invariant |
L |
7.4273823886231 |
L(r)(E,1)/r! |
Ω |
0.081279477498653 |
Real period |
R |
9.1380784142239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60606f2 |
Quadratic twists by: -3 |