Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230p |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-97228193832000000 = -1 · 29 · 315 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,35370,-14790924] |
[a1,a2,a3,a4,a6] |
Generators |
[8433:770346:1] |
Generators of the group modulo torsion |
j |
55476504148439/1102248000000 |
j-invariant |
L |
4.0298652666872 |
L(r)(E,1)/r! |
Ω |
0.1639464156011 |
Real period |
R |
3.0725475544253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410cs1 76230dt1 |
Quadratic twists by: -3 -11 |