Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290es |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2954085800435000 = -1 · 23 · 54 · 79 · 114 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,28533,1835859] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-1734:1] |
Generators of the group modulo torsion |
j |
4348377/5000 |
j-invariant |
L |
5.9644701868805 |
L(r)(E,1)/r! |
Ω |
0.30075117669119 |
Real period |
R |
0.82632957204036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997648 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290di1 59290ci1 |
Quadratic twists by: -7 -11 |