Atkin-Lehner |
2+ 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
17360l |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1013023773440 = -1 · 28 · 5 · 77 · 312 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 1 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22468,-1297172] |
[a1,a2,a3,a4,a6] |
Generators |
[201:1519:1] |
Generators of the group modulo torsion |
j |
-4899784645684224/3957124115 |
j-invariant |
L |
3.1786442064737 |
L(r)(E,1)/r! |
Ω |
0.1949653445072 |
Real period |
R |
1.1645455007504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8680m1 69440ed1 86800o1 121520x1 |
Quadratic twists by: -4 8 5 -7 |