Atkin-Lehner |
3- 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
111825m |
Isogeny class |
Conductor |
111825 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.3568058538202E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118081692,493910087341] |
[a1,a2,a3,a4,a6] |
Generators |
[84262:5133769:8] |
Generators of the group modulo torsion |
j |
15985413048680914681081/1191160146015 |
j-invariant |
L |
6.5528827308574 |
L(r)(E,1)/r! |
Ω |
0.16998197278086 |
Real period |
R |
2.4094035564856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37275b2 22365g2 |
Quadratic twists by: -3 5 |