Atkin-Lehner |
2+ 3+ 5+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400a |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
491520 |
Modular degree for the optimal curve |
Δ |
-301674780000000 = -1 · 28 · 38 · 57 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28908,2077812] |
[a1,a2,a3,a4,a6] |
Generators |
[77:550:1] |
Generators of the group modulo torsion |
j |
-667932971344/75418695 |
j-invariant |
L |
4.3086023530267 |
L(r)(E,1)/r! |
Ω |
0.53083517468221 |
Real period |
R |
2.0291620324348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25080q1 |
Quadratic twists by: 5 |