Atkin-Lehner |
2- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54782bp |
Isogeny class |
Conductor |
54782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-36870258152 = -1 · 23 · 73 · 132 · 433 |
Discriminant |
Eigenvalues |
2- -1 2 7- -5 13- 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2717,-56421] |
[a1,a2,a3,a4,a6] |
Generators |
[69:266:1] |
Generators of the group modulo torsion |
j |
-6467083933591/107493464 |
j-invariant |
L |
7.8324260253094 |
L(r)(E,1)/r! |
Ω |
0.33030692760015 |
Real period |
R |
0.65868249015925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000157 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54782bd1 |
Quadratic twists by: -7 |