Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808u |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-278836411392 = -1 · 210 · 38 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,36358] |
[a1,a2,a3,a4,a6] |
Generators |
[14:126:1] |
Generators of the group modulo torsion |
j |
-1972156/1089 |
j-invariant |
L |
6.1478284291134 |
L(r)(E,1)/r! |
Ω |
0.90720945269602 |
Real period |
R |
1.6941590530284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616ci1 12936ba1 38808w1 |
Quadratic twists by: -4 -3 -7 |