Atkin-Lehner |
2+ 3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
124656s |
Isogeny class |
Conductor |
124656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
13961472 = 28 · 3 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 6 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-380,2976] |
[a1,a2,a3,a4,a6] |
Generators |
[13:8:1] |
Generators of the group modulo torsion |
j |
69291952/159 |
j-invariant |
L |
4.3679475389187 |
L(r)(E,1)/r! |
Ω |
2.2341949516547 |
Real period |
R |
1.9550431236602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000141416 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62328x1 124656br1 |
Quadratic twists by: -4 -7 |