Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360c |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
23882040000 = 26 · 38 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-796,-4154] |
[a1,a2,a3,a4,a6] |
Generators |
[18455:219186:125] |
Generators of the group modulo torsion |
j |
872626551616/373156875 |
j-invariant |
L |
5.7063784363511 |
L(r)(E,1)/r! |
Ω |
0.93405631763632 |
Real period |
R |
6.1092445133632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cm1 43680cg3 |
Quadratic twists by: -4 8 |