Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67620u |
Isogeny class |
Conductor |
67620 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
270480 = 24 · 3 · 5 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1710,-26655] |
[a1,a2,a3,a4,a6] |
Generators |
[-636:1:27] |
Generators of the group modulo torsion |
j |
705748443904/345 |
j-invariant |
L |
4.5284466177653 |
L(r)(E,1)/r! |
Ω |
0.7423853232791 |
Real period |
R |
2.0332867024778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998919 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67620z1 |
Quadratic twists by: -7 |