Atkin-Lehner |
11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35321c |
Isogeny class |
Conductor |
35321 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
13114440053 = 11 · 137 · 19 |
Discriminant |
Eigenvalues |
0 -2 0 1 11- 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-134073,18850953] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:4478:1] [173:929:1] |
Generators of the group modulo torsion |
j |
55219290112000/2717 |
j-invariant |
L |
5.6299904494651 |
L(r)(E,1)/r! |
Ω |
0.94248453676946 |
Real period |
R |
1.4933906684464 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2717c1 |
Quadratic twists by: 13 |