Atkin-Lehner |
3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
45825h |
Isogeny class |
Conductor |
45825 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
80422875 = 34 · 53 · 132 · 47 |
Discriminant |
Eigenvalues |
1 3+ 5- 0 0 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1265,-17850] |
[a1,a2,a3,a4,a6] |
Generators |
[350:735:8] |
Generators of the group modulo torsion |
j |
1793170543949/643383 |
j-invariant |
L |
5.5534947751634 |
L(r)(E,1)/r! |
Ω |
0.80046358837491 |
Real period |
R |
3.468924043396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45825o2 |
Quadratic twists by: 5 |