Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502x |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
-101873655189504 = -1 · 212 · 310 · 112 · 592 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 11- 1 7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19008765,31903892037] |
[a1,a2,a3,a4,a6] |
j |
-8611375583510451760921/1154912256 |
j-invariant |
L |
2.7286674789901 |
L(r)(E,1)/r! |
Ω |
0.3410834076842 |
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 |
42834be1 128502by1 |
Quadratic twists by: -3 -11 |