Atkin-Lehner |
2+ 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360p |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
294840000 = 26 · 34 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9836,-372210] |
[a1,a2,a3,a4,a6] |
j |
1644536250830656/4606875 |
j-invariant |
L |
1.9175702985462 |
L(r)(E,1)/r! |
Ω |
0.47939259157005 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360by1 43680y4 |
Quadratic twists by: -4 8 |