Atkin-Lehner |
2- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38962x |
Isogeny class |
Conductor |
38962 |
Conductor |
∏ cp |
51 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-308963049472 = -1 · 217 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- 3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2967,-68947] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2026:1] |
Generators of the group modulo torsion |
j |
-197294400193/21102592 |
j-invariant |
L |
14.140257316507 |
L(r)(E,1)/r! |
Ω |
0.32149471017674 |
Real period |
R |
0.86240904937466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38962m1 |
Quadratic twists by: -11 |