Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616r |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
-123088896 = -1 · 212 · 34 · 7 · 53 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- -3 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,83,421] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-36:1] |
Generators of the group modulo torsion |
j |
15252992/30051 |
j-invariant |
L |
3.1748575888976 |
L(r)(E,1)/r! |
Ω |
1.2834437075278 |
Real period |
R |
0.61842556285765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35616v1 71232dk1 106848t1 |
Quadratic twists by: -4 8 -3 |