Atkin-Lehner |
2+ 3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59094q |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-29408956416 = -1 · 212 · 37 · 72 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 0 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,621,5557] |
[a1,a2,a3,a4,a6] |
Generators |
[38:269:1] |
Generators of the group modulo torsion |
j |
740766719/823296 |
j-invariant |
L |
5.3195517053076 |
L(r)(E,1)/r! |
Ω |
0.78319424231625 |
Real period |
R |
0.84901538750294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19698l1 59094l1 |
Quadratic twists by: -3 -7 |