Atkin-Lehner |
2- 3+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
118440bn |
Isogeny class |
Conductor |
118440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
955498118400 = 28 · 33 · 52 · 76 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -4 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19143,-1018358] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:28:1] [-79:30:1] |
Generators of the group modulo torsion |
j |
112240600275312/138237575 |
j-invariant |
L |
10.721364269499 |
L(r)(E,1)/r! |
Ω |
0.4059094600242 |
Real period |
R |
3.3016489272482 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118440k2 |
Quadratic twists by: -3 |