Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220y |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
232848 |
Modular degree for the optimal curve |
Δ |
-13770668388750000 = -1 · 24 · 3 · 57 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 13- -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44819,4320644] |
[a1,a2,a3,a4,a6] |
Generators |
[2587:132063:1] |
Generators of the group modulo torsion |
j |
2202927104/3046875 |
j-invariant |
L |
5.9863932485805 |
L(r)(E,1)/r! |
Ω |
0.26811149538673 |
Real period |
R |
7.4426663926347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114660bv1 38220h1 |
Quadratic twists by: -3 -7 |