Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290bo |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
-1565908190 = -1 · 2 · 5 · 76 · 113 |
Discriminant |
Eigenvalues |
2+ 3 5- 7- 11+ -4 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,236,1238] |
[a1,a2,a3,a4,a6] |
Generators |
[543:2902:27] |
Generators of the group modulo torsion |
j |
9261/10 |
j-invariant |
L |
8.8798545149291 |
L(r)(E,1)/r! |
Ω |
0.99768913774767 |
Real period |
R |
4.4502110822258 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1210b1 59290eb1 |
Quadratic twists by: -7 -11 |