Atkin-Lehner |
2+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
670a |
Isogeny class |
Conductor |
670 |
Conductor |
∏ cp |
11 |
Product of Tamagawa factors cp |
deg |
528 |
Modular degree for the optimal curve |
Δ |
-26171875000 = -1 · 23 · 511 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5- 1 -5 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-524,-8920] |
[a1,a2,a3,a4,a6] |
Generators |
[31:47:1] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
1.688611738612 |
L(r)(E,1)/r! |
Ω |
0.4721151649023 |
Real period |
R |
0.32515405025679 |
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 |
5360m1 21440b1 6030t1 3350d1 |
Quadratic twists by: -4 8 -3 5 |