Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
34545l |
Isogeny class |
Conductor |
34545 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3444094759580599635 = 32 · 5 · 718 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-672820,-193023790] |
[a1,a2,a3,a4,a6] |
Generators |
[-179640:119945:512] |
Generators of the group modulo torsion |
j |
286307147687521969/29274322430115 |
j-invariant |
L |
3.5142978353277 |
L(r)(E,1)/r! |
Ω |
0.16779561757236 |
Real period |
R |
10.471959536763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103635t4 4935e3 |
Quadratic twists by: -3 -7 |