Atkin-Lehner |
2+ 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
57330bt |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-3010390847100 = -1 · 22 · 39 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1755,-78975] |
[a1,a2,a3,a4,a6] |
j |
6967871/35100 |
j-invariant |
L |
1.6118772867092 |
L(r)(E,1)/r! |
Ω |
0.4029693211489 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19110di1 1170e1 |
Quadratic twists by: -3 -7 |