Atkin-Lehner |
2+ 3- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360m |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
122880000 |
Modular degree for the optimal curve |
Δ |
-1.620808815217E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3357049863,-77331168434662] |
[a1,a2,a3,a4,a6] |
Generators |
[70751595861010558:15203215276182344061:770086586296] |
Generators of the group modulo torsion |
j |
-22419689542901511880244016976/868488948483070623384375 |
j-invariant |
L |
7.186409012553 |
L(r)(E,1)/r! |
Ω |
0.0098945163949177 |
Real period |
R |
18.157554944054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120y1 |
Quadratic twists by: -3 |