Atkin-Lehner |
3+ 5+ 37- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119325f |
Isogeny class |
Conductor |
119325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
708480 |
Modular degree for the optimal curve |
Δ |
775659111328125 = 33 · 510 · 37 · 433 |
Discriminant |
Eigenvalues |
2 3+ 5+ 2 0 -4 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-25208,768443] |
[a1,a2,a3,a4,a6] |
j |
181407846400/79427493 |
j-invariant |
L |
1.8165178878386 |
L(r)(E,1)/r! |
Ω |
0.45412949691536 |
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 |
119325r1 |
Quadratic twists by: 5 |