Atkin-Lehner |
2+ 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478c |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13418496 |
Modular degree for the optimal curve |
Δ |
-6.4806074650487E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -2 -5 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-101458543,393309632101] |
[a1,a2,a3,a4,a6] |
j |
-981750978256503859384681/550842545627136 |
j-invariant |
L |
0.64507813536612 |
L(r)(E,1)/r! |
Ω |
0.1612689161246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18354g1 |
Quadratic twists by: -7 |