Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808a |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-64411211031552 = -1 · 210 · 39 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11+ 6 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9261,-177282] |
[a1,a2,a3,a4,a6] |
Generators |
[231:3780:1] |
Generators of the group modulo torsion |
j |
1815156/1331 |
j-invariant |
L |
6.9679615640885 |
L(r)(E,1)/r! |
Ω |
0.34815436974796 |
Real period |
R |
1.6678333352368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616d1 38808bl1 38808i1 |
Quadratic twists by: -4 -3 -7 |