Atkin-Lehner |
2+ 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
38808s |
Isogeny class |
Conductor |
38808 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-101909307096528624 = -1 · 24 · 315 · 79 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ -1 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,116277,-1731121] |
[a1,a2,a3,a4,a6] |
Generators |
[539:14749:1] |
Generators of the group modulo torsion |
j |
369381632/216513 |
j-invariant |
L |
5.2965755812305 |
L(r)(E,1)/r! |
Ω |
0.19764001516011 |
Real period |
R |
3.3498881646881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77616ce1 12936q1 38808r1 |
Quadratic twists by: -4 -3 -7 |