Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
2574o |
Isogeny class |
Conductor |
2574 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-607968504 = -1 · 23 · 312 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 5 11- 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,117,1053] |
[a1,a2,a3,a4,a6] |
j |
241804367/833976 |
j-invariant |
L |
2.3077791570833 |
L(r)(E,1)/r! |
Ω |
1.1538895785417 |
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 |
20592bj1 82368z1 858j1 64350eq1 |
Quadratic twists by: -4 8 -3 5 |