Atkin-Lehner |
2- 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
69300q |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
414339307074000 = 24 · 33 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18660,58725] |
[a1,a2,a3,a4,a6] |
j |
13306531627008/7672950131 |
j-invariant |
L |
2.7140811431477 |
L(r)(E,1)/r! |
Ω |
0.45234685639616 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300n1 69300w1 |
Quadratic twists by: -3 5 |