Atkin-Lehner |
3+ 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
58575d |
Isogeny class |
Conductor |
58575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
94080 |
Modular degree for the optimal curve |
Δ |
-2860107421875 = -1 · 3 · 513 · 11 · 71 |
Discriminant |
Eigenvalues |
0 3+ 5+ 2 11- 2 -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1783,-85782] |
[a1,a2,a3,a4,a6] |
j |
-40142209024/183046875 |
j-invariant |
L |
1.3324815975596 |
L(r)(E,1)/r! |
Ω |
0.33312039762469 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11715f1 |
Quadratic twists by: 5 |