Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bo |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
-1452705788160 = -1 · 28 · 35 · 5 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39380,3021612] |
[a1,a2,a3,a4,a6] |
j |
-26382862282835536/5674631985 |
j-invariant |
L |
0.82807546333315 |
L(r)(E,1)/r! |
Ω |
0.82807549429576 |
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 |
19140l1 |
Quadratic twists by: -4 |