Atkin-Lehner |
3- 5+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
35685c |
Isogeny class |
Conductor |
35685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
176319585 = 36 · 5 · 13 · 612 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 6 13- 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-195,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[20788:363475:64] |
Generators of the group modulo torsion |
j |
1128111921/241865 |
j-invariant |
L |
7.0341484141104 |
L(r)(E,1)/r! |
Ω |
1.2966941017611 |
Real period |
R |
5.4246783451517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3965b1 |
Quadratic twists by: -3 |