Atkin-Lehner |
2+ 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192g |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-4330205293568 = -1 · 210 · 7 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 7- 11- 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2632,-84700] |
[a1,a2,a3,a4,a6] |
Generators |
[302:5324:1] |
Generators of the group modulo torsion |
j |
1968413769500/4228716107 |
j-invariant |
L |
7.405494408743 |
L(r)(E,1)/r! |
Ω |
0.40388934958636 |
Real period |
R |
0.65483762679129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19096c1 |
Quadratic twists by: -4 |