Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
76230y |
Isogeny class |
Conductor |
76230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
-228098452780154880 = -1 · 216 · 36 · 5 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-31785,-23073715] |
[a1,a2,a3,a4,a6] |
Generators |
[410170:23245667:125] |
Generators of the group modulo torsion |
j |
-2749884201/176619520 |
j-invariant |
L |
4.7536259389538 |
L(r)(E,1)/r! |
Ω |
0.13822553915706 |
Real period |
R |
8.5975897933778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000821 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8470ba1 6930bc1 |
Quadratic twists by: -3 -11 |