Atkin-Lehner |
2+ 3- 5- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
6090n |
Isogeny class |
Conductor |
6090 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
54810000 = 24 · 33 · 54 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-148,578] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:35:1] |
Generators of the group modulo torsion |
j |
355045312441/54810000 |
j-invariant |
L |
3.5658950883976 |
L(r)(E,1)/r! |
Ω |
1.9050490516276 |
Real period |
R |
0.31196879028311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48720br1 18270bn1 30450cd1 42630e1 |
Quadratic twists by: -4 -3 5 -7 |