Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690h |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-209395824831900 = -1 · 22 · 36 · 52 · 7 · 177 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25293,1687113] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:1713:1] [-16:1453:1] |
Generators of the group modulo torsion |
j |
-74140932601/8675100 |
j-invariant |
L |
6.0004343781173 |
L(r)(E,1)/r! |
Ω |
0.54677117150196 |
Real period |
R |
1.3717883026003 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3570l1 |
Quadratic twists by: 17 |