Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
5300f |
Isogeny class |
Conductor |
5300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
5300000000 = 28 · 58 · 53 |
Discriminant |
Eigenvalues |
2- -2 5- -1 -3 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2333,42463] |
[a1,a2,a3,a4,a6] |
Generators |
[29:6:1] |
Generators of the group modulo torsion |
j |
14049280/53 |
j-invariant |
L |
2.4494645122852 |
L(r)(E,1)/r! |
Ω |
1.365248631858 |
Real period |
R |
1.7941526950674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
21200w1 84800bk1 47700m1 5300d1 |
Quadratic twists by: -4 8 -3 5 |