Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
27090d |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
53271120288153600 = 220 · 39 · 52 · 74 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-104154,-6612940] |
[a1,a2,a3,a4,a6] |
Generators |
[-149:2437:1] |
Generators of the group modulo torsion |
j |
6348375775125747/2706453299200 |
j-invariant |
L |
4.1623575307613 |
L(r)(E,1)/r! |
Ω |
0.27614783705938 |
Real period |
R |
1.8841164822641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27090bc1 |
Quadratic twists by: -3 |