Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290o |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
792000 |
Modular degree for the optimal curve |
Δ |
-229264618097900000 = -1 · 25 · 55 · 76 · 117 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 11- -6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,59166,-22356204] |
[a1,a2,a3,a4,a6] |
Generators |
[9078:305943:8] |
Generators of the group modulo torsion |
j |
109902239/1100000 |
j-invariant |
L |
3.4548352970481 |
L(r)(E,1)/r! |
Ω |
0.15493416892542 |
Real period |
R |
5.5746826555812 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999607 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210g1 5390ba1 |
Quadratic twists by: -7 -11 |