Atkin-Lehner |
2+ 3+ 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
74382i |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-11429835648 = -1 · 27 · 3 · 76 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 11- -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,514,-2316] |
[a1,a2,a3,a4,a6] |
j |
127263527/97152 |
j-invariant |
L |
0.7115577190825 |
L(r)(E,1)/r! |
Ω |
0.71155773833106 |
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 |
1518j1 |
Quadratic twists by: -7 |