Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bz |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-255998634072473600 = -1 · 221 · 52 · 79 · 112 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- 11- -7 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-388742,-96577004] |
[a1,a2,a3,a4,a6] |
j |
-456390127585249/17983078400 |
j-invariant |
L |
0.76303063835024 |
L(r)(E,1)/r! |
Ω |
0.095378829904761 |
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 |
8470d1 59290en1 |
Quadratic twists by: -7 -11 |