Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712dc |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-7083200191503794176 = -1 · 220 · 72 · 1310 |
Discriminant |
Eigenvalues |
2- -2 -3 7- 6 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7349697,-7672758209] |
[a1,a2,a3,a4,a6] |
Generators |
[703828538538:-11049402637889:217081801] |
Generators of the group modulo torsion |
j |
-1214950633/196 |
j-invariant |
L |
3.7230753621027 |
L(r)(E,1)/r! |
Ω |
0.045845634955107 |
Real period |
R |
20.302234693382 |
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 |
75712m1 18928bc1 75712cg1 |
Quadratic twists by: -4 8 13 |