Atkin-Lehner |
2- 3+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
59094bh |
Isogeny class |
Conductor |
59094 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
-174961616637394944 = -1 · 224 · 33 · 78 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -6 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,66949,-19004821] |
[a1,a2,a3,a4,a6] |
Generators |
[1801:76176:1] |
Generators of the group modulo torsion |
j |
213213153069/1124073472 |
j-invariant |
L |
11.169547982626 |
L(r)(E,1)/r! |
Ω |
0.16129631175172 |
Real period |
R |
4.3280391307485 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59094d2 59094bo1 |
Quadratic twists by: -3 -7 |