Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152v |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
906503427648 = 26 · 33 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-39902,3054288] |
[a1,a2,a3,a4,a6] |
j |
2720547136/351 |
j-invariant |
L |
2.5585033197186 |
L(r)(E,1)/r! |
Ω |
0.85283444062618 |
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 |
61152k1 122304fk1 61152d1 |
Quadratic twists by: -4 8 -7 |