Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2550j |
Isogeny class |
Conductor |
2550 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
57960 |
Modular degree for the optimal curve |
Δ |
-1311075565616332800 = -1 · 215 · 323 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 2 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-351801,-97421732] |
[a1,a2,a3,a4,a6] |
j |
-192607474931043120625/52443022624653312 |
j-invariant |
L |
2.2228359903244 |
L(r)(E,1)/r! |
Ω |
0.096645043057581 |
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 |
20400bz1 81600n1 7650ce1 2550z1 |
Quadratic twists by: -4 8 -3 5 |