Atkin-Lehner |
3- 5- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35685o |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
677457421875 = 37 · 58 · 13 · 61 |
Discriminant |
Eigenvalues |
1 3- 5- -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114309,-14846810] |
[a1,a2,a3,a4,a6] |
Generators |
[3438:29531:8] |
Generators of the group modulo torsion |
j |
226589404114586449/929296875 |
j-invariant |
L |
4.7823323975138 |
L(r)(E,1)/r! |
Ω |
0.25964464924674 |
Real period |
R |
4.6046899208074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11895b4 |
Quadratic twists by: -3 |