Atkin-Lehner |
3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4557d |
Isogeny class |
Conductor |
4557 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
11258656353 = 32 · 79 · 31 |
Discriminant |
Eigenvalues |
-1 3+ 0 7- 2 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2108,-37780] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:20:1] |
Generators of the group modulo torsion |
j |
25672375/279 |
j-invariant |
L |
2.0401904458197 |
L(r)(E,1)/r! |
Ω |
0.70504361808392 |
Real period |
R |
2.8937081245616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72912cc1 13671o1 113925ce1 4557k1 |
Quadratic twists by: -4 -3 5 -7 |