Atkin-Lehner |
2- 5- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
30160bc |
Isogeny class |
Conductor |
30160 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
31856500000000 = 28 · 59 · 133 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -5 0 13- -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22885,1312217] |
[a1,a2,a3,a4,a6] |
Generators |
[64:325:1] [-131:1430:1] |
Generators of the group modulo torsion |
j |
5177921645510656/124439453125 |
j-invariant |
L |
6.6070138376078 |
L(r)(E,1)/r! |
Ω |
0.65691081533441 |
Real period |
R |
0.18625375811717 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7540g1 120640ca1 |
Quadratic twists by: -4 8 |