Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616s |
Isogeny class |
Conductor |
35616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
1495872 = 26 · 32 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 -6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-638,-6420] |
[a1,a2,a3,a4,a6] |
Generators |
[97:924:1] |
Generators of the group modulo torsion |
j |
449455096000/23373 |
j-invariant |
L |
6.0703135760447 |
L(r)(E,1)/r! |
Ω |
0.94981501090381 |
Real period |
R |
3.1955241317299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616d1 71232f2 106848e1 |
Quadratic twists by: -4 8 -3 |