Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808v |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-182267624416534272 = -1 · 28 · 310 · 77 · 114 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12201,-20534038] |
[a1,a2,a3,a4,a6] |
Generators |
[2786:147098:1] |
Generators of the group modulo torsion |
j |
9148592/8301447 |
j-invariant |
L |
6.6361778324792 |
L(r)(E,1)/r! |
Ω |
0.14920441665897 |
Real period |
R |
5.5596358850138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
77616ck1 12936t1 5544e1 |
Quadratic twists by: -4 -3 -7 |