Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
103635m |
Isogeny class |
Conductor |
103635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-10017557978155875 = -1 · 38 · 53 · 76 · 473 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 -5 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-35868,-5479511] |
[a1,a2,a3,a4,a6] |
Generators |
[16457:2111042:1] |
Generators of the group modulo torsion |
j |
-59501707264/116800875 |
j-invariant |
L |
5.0692743674019 |
L(r)(E,1)/r! |
Ω |
0.16309873489991 |
Real period |
R |
7.770253945579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34545p2 2115k2 |
Quadratic twists by: -3 -7 |