Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290dh |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-5340146117045335750 = -1 · 2 · 53 · 77 · 1110 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14946,-111190507] |
[a1,a2,a3,a4,a6] |
j |
-121/1750 |
j-invariant |
L |
5.5010040533538 |
L(r)(E,1)/r! |
Ω |
0.11002008104704 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470bc1 59290w1 |
Quadratic twists by: -7 -11 |