Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675v |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
9.0581168057719E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-26141630,51247808372] |
[a1,a2,a3,a4,a6] |
Generators |
[-3276:320575:1] |
Generators of the group modulo torsion |
j |
173449931524273005841/795225618065025 |
j-invariant |
L |
3.0203276021119 |
L(r)(E,1)/r! |
Ω |
0.13062771897767 |
Real period |
R |
1.445102743974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15225x5 9135c5 |
Quadratic twists by: -3 5 |