Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360by |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[61:54:1] [121:984:1] |
Generators of the group modulo torsion |
j |
1644536250830656/4606875 |
j-invariant |
L |
11.819050131222 |
L(r)(E,1)/r! |
Ω |
1.5025437745102 |
Real period |
R |
3.9330135774223 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360p1 43680bl4 |
Quadratic twists by: -4 8 |