Atkin-Lehner |
2+ 3- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76560o |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
18300641253840 = 24 · 35 · 5 · 113 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-539335,152273240] |
[a1,a2,a3,a4,a6] |
Generators |
[28292:42279:64] |
Generators of the group modulo torsion |
j |
1084377127630526519296/1143790078365 |
j-invariant |
L |
9.1845388647918 |
L(r)(E,1)/r! |
Ω |
0.5795539406795 |
Real period |
R |
6.339039884838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001455 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280o1 |
Quadratic twists by: -4 |