Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710cw |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
793685192790600 = 23 · 32 · 52 · 1110 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- 4 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-83190,-9142308] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:41850:1] |
Generators of the group modulo torsion |
j |
35940267099001/448014600 |
j-invariant |
L |
12.966241431284 |
L(r)(E,1)/r! |
Ω |
0.281325541231 |
Real period |
R |
3.8408177037472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5610v2 |
Quadratic twists by: -11 |