Atkin-Lehner |
7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
40733a |
Isogeny class |
Conductor |
40733 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.7103983249981E+19 |
Discriminant |
Eigenvalues |
0 1 -3 7+ 11- -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,233113,194283415] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:4658:1] |
Generators of the group modulo torsion |
j |
9463555063808/115539436859 |
j-invariant |
L |
3.0499160988422 |
L(r)(E,1)/r! |
Ω |
0.16190194942961 |
Real period |
R |
1.0465580177752 |
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 |
77b2 |
Quadratic twists by: -23 |