Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270r |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
129658609920 = 28 · 3 · 5 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4656,-122991] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:53:1] |
Generators of the group modulo torsion |
j |
94881210481/1102080 |
j-invariant |
L |
5.264659113478 |
L(r)(E,1)/r! |
Ω |
0.57836332475796 |
Real period |
R |
2.2756712294604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610t1 |
Quadratic twists by: -7 |