Atkin-Lehner |
2+ 3- 7+ 11+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
33726f |
Isogeny class |
Conductor |
33726 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
10608 |
Modular degree for the optimal curve |
Δ |
-1652574 = -1 · 2 · 3 · 73 · 11 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 11+ -3 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-67,212] |
[a1,a2,a3,a4,a6] |
j |
-32553430057/1652574 |
j-invariant |
L |
2.6328403157632 |
L(r)(E,1)/r! |
Ω |
2.6328403157674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101178bo1 |
Quadratic twists by: -3 |