Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
69360c |
Isogeny class |
Conductor |
69360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-3121200 = -1 · 24 · 33 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 4 -1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11,90] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:10:1] |
Generators of the group modulo torsion |
j |
-34816/675 |
j-invariant |
L |
5.178135126242 |
L(r)(E,1)/r! |
Ω |
2.1255865671027 |
Real period |
R |
1.2180485158454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34680bp1 69360bx1 |
Quadratic twists by: -4 17 |