Atkin-Lehner |
2+ 3+ 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
104880b |
Isogeny class |
Conductor |
104880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-4195200000 = -1 · 210 · 3 · 55 · 19 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 3 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1376,-19440] |
[a1,a2,a3,a4,a6] |
Generators |
[64:388:1] |
Generators of the group modulo torsion |
j |
-281575354756/4096875 |
j-invariant |
L |
5.3325903419624 |
L(r)(E,1)/r! |
Ω |
0.39157320112613 |
Real period |
R |
3.4045935238578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006153 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52440d1 |
Quadratic twists by: -4 |