Atkin-Lehner |
2+ 3- 5- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840bf |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
2400 |
Product of Tamagawa factors cp |
Δ |
-1.12827338019E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 11- -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2563880,-338133532] |
[a1,a2,a3,a4,a6] |
Generators |
[506:-33000:1] [206:14100:1] |
Generators of the group modulo torsion |
j |
1820189772726113400476/1101829472841796875 |
j-invariant |
L |
12.78320247489 |
L(r)(E,1)/r! |
Ω |
0.089798701969769 |
Real period |
R |
0.23725663056423 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40920y2 |
Quadratic twists by: -4 |