Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4650l |
Isogeny class |
Conductor |
4650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-13603700736000 = -1 · 222 · 33 · 53 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -2 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-710,-177900] |
[a1,a2,a3,a4,a6] |
Generators |
[229:3311:1] |
Generators of the group modulo torsion |
j |
-317354125661/108829605888 |
j-invariant |
L |
2.4494787340174 |
L(r)(E,1)/r! |
Ω |
0.31650318597152 |
Real period |
R |
3.8695956985371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37200dp1 13950da1 4650bx1 |
Quadratic twists by: -4 -3 5 |