Atkin-Lehner |
2- 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230cx |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-898593903900 = -1 · 22 · 39 · 52 · 73 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 11+ 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1132,-43469] |
[a1,a2,a3,a4,a6] |
Generators |
[470:3541:8] |
Generators of the group modulo torsion |
j |
6128487/34300 |
j-invariant |
L |
11.064931726256 |
L(r)(E,1)/r! |
Ω |
0.44422961600908 |
Real period |
R |
2.0756780065225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230m1 76230a1 |
Quadratic twists by: -3 -11 |