Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890bd |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-259608797280 = -1 · 25 · 38 · 5 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1476,10800] |
[a1,a2,a3,a4,a6] |
Generators |
[69:627:1] |
Generators of the group modulo torsion |
j |
487629237311/356116320 |
j-invariant |
L |
3.7415819884607 |
L(r)(E,1)/r! |
Ω |
0.62575903940066 |
Real period |
R |
1.4948173949477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999715 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21630x1 |
Quadratic twists by: -3 |