Atkin-Lehner |
2- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
87220m |
Isogeny class |
Conductor |
87220 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
120723706967122000 = 24 · 53 · 714 · 89 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142492,12213201] |
[a1,a2,a3,a4,a6] |
j |
169975738220544/64133411125 |
j-invariant |
L |
2.7208614132035 |
L(r)(E,1)/r! |
Ω |
0.30231793289839 |
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 |
12460a1 |
Quadratic twists by: -7 |