Atkin-Lehner |
2- 3- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35112z |
Isogeny class |
Conductor |
35112 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
495500544 = 28 · 33 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- 4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-217,539] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:42:1] |
Generators of the group modulo torsion |
j |
4434684928/1935549 |
j-invariant |
L |
5.9634233748324 |
L(r)(E,1)/r! |
Ω |
1.4912239143217 |
Real period |
R |
0.22216737233086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
70224c1 105336w1 |
Quadratic twists by: -4 -3 |