Atkin-Lehner |
3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
7353c |
Isogeny class |
Conductor |
7353 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178464 |
Modular degree for the optimal curve |
Δ |
-9.8593743933427E+19 |
Discriminant |
Eigenvalues |
0 3+ 1 2 4 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,937008,-326110462] |
[a1,a2,a3,a4,a6] |
j |
4622344565280473088/5009081132623417 |
j-invariant |
L |
1.8433189316854 |
L(r)(E,1)/r! |
Ω |
0.10240660731586 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117648n1 7353d1 |
Quadratic twists by: -4 -3 |