Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240w |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-7188480 = -1 · 212 · 33 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -1 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125,597] |
[a1,a2,a3,a4,a6] |
Generators |
[7:4:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
3.4561554203225 |
L(r)(E,1)/r! |
Ω |
2.3441756711837 |
Real period |
R |
0.73717927005387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6240o1 12480z1 18720f1 31200q1 |
Quadratic twists by: -4 8 -3 5 |