Atkin-Lehner |
2+ 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094c |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1444608 |
Modular degree for the optimal curve |
Δ |
-4222390285689421824 = -1 · 218 · 33 · 1110 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -3 11- 7 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,392562,28392788] |
[a1,a2,a3,a4,a6] |
j |
9553384269/6029312 |
j-invariant |
L |
2.4472408103553 |
L(r)(E,1)/r! |
Ω |
0.15295255066606 |
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 |
50094bo1 50094bl1 |
Quadratic twists by: -3 -11 |