Atkin-Lehner |
5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2695a |
Isogeny class |
Conductor |
2695 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
355888225 = 52 · 76 · 112 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-205,-624] |
[a1,a2,a3,a4,a6] |
j |
8120601/3025 |
j-invariant |
L |
1.301160423914 |
L(r)(E,1)/r! |
Ω |
1.301160423914 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43120bo2 24255bv2 13475e2 55a1 |
Quadratic twists by: -4 -3 5 -7 |