Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7353d |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
59488 |
Modular degree for the optimal curve |
Δ |
-135245190580832259 = -1 · 33 · 1911 · 43 |
Discriminant |
Eigenvalues |
0 3+ -1 2 -4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,104112,12078165] |
[a1,a2,a3,a4,a6] |
j |
4622344565280473088/5009081132623417 |
j-invariant |
L |
0.43530110397849 |
L(r)(E,1)/r! |
Ω |
0.21765055198924 |
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 |
117648o1 7353c1 |
Quadratic twists by: -4 -3 |