Atkin-Lehner |
2+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
75712r |
Isogeny class |
Conductor |
75712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4515840 |
Modular degree for the optimal curve |
Δ |
-4.2094446852365E+20 |
Discriminant |
Eigenvalues |
2+ -3 0 7+ -5 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-239980,988157872] |
[a1,a2,a3,a4,a6] |
Generators |
[2717:142805:1] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
2.5754687439159 |
L(r)(E,1)/r! |
Ω |
0.13661427424787 |
Real period |
R |
2.3565150460828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75712dd1 2366l1 5824o1 |
Quadratic twists by: -4 8 13 |