Atkin-Lehner |
41+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
122713b |
Isogeny class |
Conductor |
122713 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2782080 |
Modular degree for the optimal curve |
Δ |
-23898881210759153 = -1 · 419 · 73 |
Discriminant |
Eigenvalues |
1 3 -4 4 -4 -3 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7039,7443074] |
[a1,a2,a3,a4,a6] |
j |
-8120601/5031233 |
j-invariant |
L |
4.9084762748194 |
L(r)(E,1)/r! |
Ω |
0.30677957645453 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2993a1 |
Quadratic twists by: 41 |