Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ez |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
26794052812800000 = 228 · 33 · 55 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -2 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-778625,264590625] |
[a1,a2,a3,a4,a6] |
Generators |
[475:1300:1] |
Generators of the group modulo torsion |
j |
199144987475642209/102211200000 |
j-invariant |
L |
5.4605728404591 |
L(r)(E,1)/r! |
Ω |
0.37045297573715 |
Real period |
R |
1.4740259086475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976888 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dj1 21840bs1 |
Quadratic twists by: -4 8 |