Atkin-Lehner |
2- 3+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560cp |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-3404715000000 = -1 · 26 · 3 · 57 · 613 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 -4 8 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1841,94455] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:183:1] |
Generators of the group modulo torsion |
j |
-10788001140736/53198671875 |
j-invariant |
L |
3.6415186587118 |
L(r)(E,1)/r! |
Ω |
0.68793293387956 |
Real period |
R |
1.7644736762891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bl1 14640bi1 |
Quadratic twists by: -4 8 |