Atkin-Lehner |
2+ 3+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
22752b |
Isogeny class |
Conductor |
22752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5632 |
Modular degree for the optimal curve |
Δ |
-8736768 = -1 · 212 · 33 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 5 -3 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-540,-4832] |
[a1,a2,a3,a4,a6] |
j |
-157464000/79 |
j-invariant |
L |
1.9806969888792 |
L(r)(E,1)/r! |
Ω |
0.4951742472198 |
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 |
22752j1 45504f1 22752k1 |
Quadratic twists by: -4 8 -3 |