Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
39326j |
Isogeny class |
Conductor |
39326 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
232848 |
Modular degree for the optimal curve |
Δ |
-38799451916288 = -1 · 211 · 74 · 534 |
Discriminant |
Eigenvalues |
2- -3 -2 7+ -4 -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3336,-307893] |
[a1,a2,a3,a4,a6] |
Generators |
[305:5041:1] |
Generators of the group modulo torsion |
j |
-520207137/4917248 |
j-invariant |
L |
2.4595826079335 |
L(r)(E,1)/r! |
Ω |
0.27420746471737 |
Real period |
R |
0.13590586670922 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39326a1 |
Quadratic twists by: 53 |