Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bt |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3161456640 = -1 · 220 · 32 · 5 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,319,-1695] |
[a1,a2,a3,a4,a6] |
Generators |
[59:468:1] |
Generators of the group modulo torsion |
j |
13651919/12060 |
j-invariant |
L |
4.6539083000562 |
L(r)(E,1)/r! |
Ω |
0.780087236494 |
Real period |
R |
2.9829409341662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000299 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320w1 16080v1 |
Quadratic twists by: -4 8 |