Atkin-Lehner |
2+ 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
35616d |
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 |
[-1:84:1] [8:42:1] |
Generators of the group modulo torsion |
j |
449455096000/23373 |
j-invariant |
L |
7.6241052823339 |
L(r)(E,1)/r! |
Ω |
2.5353744303286 |
Real period |
R |
1.5035462200637 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35616s1 71232bq2 106848bf1 |
Quadratic twists by: -4 8 -3 |