Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
38808cp |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
2112794186646528 = 210 · 313 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3535203,-2558406130] |
[a1,a2,a3,a4,a6] |
Generators |
[11918549958910:336128357515230:4649101309] |
Generators of the group modulo torsion |
j |
55635379958596/24057 |
j-invariant |
L |
7.9604414885215 |
L(r)(E,1)/r! |
Ω |
0.11010219487512 |
Real period |
R |
18.075119886457 |
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 |
77616by1 12936f1 792g1 |
Quadratic twists by: -4 -3 -7 |