Atkin-Lehner |
3+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112437a |
Isogeny class |
Conductor |
112437 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
218236905769365639 = 39 · 13 · 318 |
Discriminant |
Eigenvalues |
1 3+ -3 -4 0 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-351906,-77054887] |
[a1,a2,a3,a4,a6] |
Generators |
[-43880:242997:125] |
Generators of the group modulo torsion |
j |
287091/13 |
j-invariant |
L |
3.5570414149172 |
L(r)(E,1)/r! |
Ω |
0.19656587526854 |
Real period |
R |
9.0479627892496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999009994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112437b1 112437c1 |
Quadratic twists by: -3 -31 |