Atkin-Lehner |
2+ 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
38850n |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-385702333800 = -1 · 23 · 3 · 52 · 73 · 374 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -2 -5 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-290,29820] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-414:1] |
Generators of the group modulo torsion |
j |
-108471475345/15428093352 |
j-invariant |
L |
2.8063529682358 |
L(r)(E,1)/r! |
Ω |
0.77845072779977 |
Real period |
R |
0.30042074469371 |
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 |
116550fa1 38850cz1 |
Quadratic twists by: -3 5 |