Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
76230et |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
896 |
Product of Tamagawa factors cp |
deg |
3870720 |
Modular degree for the optimal curve |
Δ |
-8.556081057216E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2355827,-1978693549] |
[a1,a2,a3,a4,a6] |
Generators |
[2811:-118046:1] |
Generators of the group modulo torsion |
j |
-1490212288072889459/881798400000000 |
j-invariant |
L |
11.685532347623 |
L(r)(E,1)/r! |
Ω |
0.059320688875714 |
Real period |
R |
0.87941586825009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000201 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25410y1 76230bm1 |
Quadratic twists by: -3 -11 |