Atkin-Lehner |
3- 7- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
44919c |
Isogeny class |
Conductor |
44919 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53376 |
Modular degree for the optimal curve |
Δ |
-3045373443 = -1 · 39 · 7 · 23 · 312 |
Discriminant |
Eigenvalues |
2 3- -2 7- 3 6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3261,71725] |
[a1,a2,a3,a4,a6] |
j |
-5260761100288/4177467 |
j-invariant |
L |
5.6493011720703 |
L(r)(E,1)/r! |
Ω |
1.4123252929728 |
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 |
14973b1 |
Quadratic twists by: -3 |