Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808ba |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-7745455872 = -1 · 28 · 36 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-903,-11270] |
[a1,a2,a3,a4,a6] |
Generators |
[210:3010:1] |
Generators of the group modulo torsion |
j |
-1272112/121 |
j-invariant |
L |
7.7174680504125 |
L(r)(E,1)/r! |
Ω |
0.43311787334037 |
Real period |
R |
4.4546003094343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616cq1 4312l1 38808bb1 |
Quadratic twists by: -4 -3 -7 |