Atkin-Lehner |
3- 5- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905br |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
167424 |
Modular degree for the optimal curve |
Δ |
-6915810973995 = -1 · 38 · 5 · 7 · 116 · 17 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11+ -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6807,250470] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:665:1] |
Generators of the group modulo torsion |
j |
-47847961022464/9486709155 |
j-invariant |
L |
3.5511024924997 |
L(r)(E,1)/r! |
Ω |
0.7165780223875 |
Real period |
R |
1.2389099237917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19635s1 |
Quadratic twists by: -3 |