Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094bg |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-138989088 = -1 · 25 · 33 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -5 -1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64,515] |
[a1,a2,a3,a4,a6] |
Generators |
[9:37:1] |
Generators of the group modulo torsion |
j |
453789/2144 |
j-invariant |
L |
6.7129909316371 |
L(r)(E,1)/r! |
Ω |
1.3209897259554 |
Real period |
R |
0.16939296346054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59094c1 59094bm1 |
Quadratic twists by: -3 -7 |