Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240o |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
6 |
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 |
[13:12:1] |
Generators of the group modulo torsion |
j |
-53157376/1755 |
j-invariant |
L |
5.1926151876103 |
L(r)(E,1)/r! |
Ω |
0.71204927313952 |
Real period |
R |
1.2154156983911 |
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 |
6240w1 12480g1 18720ba1 31200bl1 |
Quadratic twists by: -4 8 -3 5 |