Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440h |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8.4606790914147E+20 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 2 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19860656736,1077311238285740] |
[a1,a2,a3,a4,a6] |
Generators |
[19461875667720712768701528517902227375599776072279558388694701239562472608525125302811:81427270843517949332960031393312902924293978528932006387074557215166800680354105023208:237169324423266452325931524386696809250694033541709426666414146424843299422178671] |
Generators of the group modulo torsion |
j |
15999976000011999998/15625 |
j-invariant |
L |
9.1953053265554 |
L(r)(E,1)/r! |
Ω |
0.069956218548561 |
Real period |
R |
131.44371604609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76880h2 38440i2 |
Quadratic twists by: -4 -31 |