Atkin-Lehner |
2+ 3+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110352a |
Isogeny class |
Conductor |
110352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
-155375616 = -1 · 211 · 3 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 11+ -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-480,-3936] |
[a1,a2,a3,a4,a6] |
Generators |
[26:22:1] |
Generators of the group modulo torsion |
j |
-4496182/57 |
j-invariant |
L |
3.5761308404185 |
L(r)(E,1)/r! |
Ω |
0.50951403653192 |
Real period |
R |
1.7546772865817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033639 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55176k1 110352c1 |
Quadratic twists by: -4 -11 |