Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38148f |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-432499440384 = -1 · 28 · 312 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 3 4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2629,-59903] |
[a1,a2,a3,a4,a6] |
Generators |
[1144:38637:1] |
Generators of the group modulo torsion |
j |
-27172077568/5845851 |
j-invariant |
L |
7.4595375282819 |
L(r)(E,1)/r! |
Ω |
0.32956362337845 |
Real period |
R |
3.7724316839607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114444j1 38148k1 |
Quadratic twists by: -3 17 |