Atkin-Lehner |
2- 3+ 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
111504k |
Isogeny class |
Conductor |
111504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
795721089024 = 214 · 32 · 232 · 1012 |
Discriminant |
Eigenvalues |
2- 3+ -2 0 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2664,-30096] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:138:1] |
Generators of the group modulo torsion |
j |
510657175657/194267844 |
j-invariant |
L |
3.3267988335268 |
L(r)(E,1)/r! |
Ω |
0.68612472221805 |
Real period |
R |
2.4243397073283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051164 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
13938d2 |
Quadratic twists by: -4 |