Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800h |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-29868750000 = -1 · 24 · 34 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 0 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,117,8262] |
[a1,a2,a3,a4,a6] |
Generators |
[18:126:1] [62:500:1] |
Generators of the group modulo torsion |
j |
702464/119475 |
j-invariant |
L |
8.1674040567037 |
L(r)(E,1)/r! |
Ω |
0.90736650856526 |
Real period |
R |
4.5006091693189 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999927 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35400e1 14160k1 |
Quadratic twists by: -4 5 |