Atkin-Lehner |
2+ 3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
72618m |
Isogeny class |
Conductor |
72618 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
39600 |
Modular degree for the optimal curve |
Δ |
-697423272 = -1 · 23 · 3 · 76 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 5 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,1261] |
[a1,a2,a3,a4,a6] |
j |
-15625/5928 |
j-invariant |
L |
1.3066545987043 |
L(r)(E,1)/r! |
Ω |
1.3066546168062 |
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 |
1482c1 |
Quadratic twists by: -7 |