Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230dv |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-18678255750 = -1 · 2 · 36 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23,6581] |
[a1,a2,a3,a4,a6] |
Generators |
[468:4999:64] |
Generators of the group modulo torsion |
j |
-121/1750 |
j-invariant |
L |
9.9561137495207 |
L(r)(E,1)/r! |
Ω |
0.97830101328254 |
Real period |
R |
5.0884715504249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8470o1 76230r1 |
Quadratic twists by: -3 -11 |