Atkin-Lehner |
2+ 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808p |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-118294235136 = -1 · 211 · 37 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 11+ -6 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-147,-16562] |
[a1,a2,a3,a4,a6] |
j |
-98/33 |
j-invariant |
L |
0.93987472375215 |
L(r)(E,1)/r! |
Ω |
0.46993736188608 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616bg1 12936w1 38808t1 |
Quadratic twists by: -4 -3 -7 |