Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
5310h |
Isogeny class |
Conductor |
5310 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
-1612912500 = -1 · 22 · 37 · 55 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 -6 -5 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-639,6673] |
[a1,a2,a3,a4,a6] |
Generators |
[8:41:1] [-18:119:1] |
Generators of the group modulo torsion |
j |
-39616946929/2212500 |
j-invariant |
L |
3.5081553657378 |
L(r)(E,1)/r! |
Ω |
1.4811324018076 |
Real period |
R |
0.059214074336898 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42480bx1 1770e1 26550cg1 |
Quadratic twists by: -4 -3 5 |