Atkin-Lehner |
2+ 3+ 5+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13530a |
Isogeny class |
Conductor |
13530 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
31616 |
Modular degree for the optimal curve |
Δ |
-7756869795840 = -1 · 219 · 38 · 5 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6253,230173] |
[a1,a2,a3,a4,a6] |
Generators |
[61:253:1] |
Generators of the group modulo torsion |
j |
-27045655709726809/7756869795840 |
j-invariant |
L |
3.0302340543576 |
L(r)(E,1)/r! |
Ω |
0.70212751181223 |
Real period |
R |
2.1578944019274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108240bu1 40590bt1 67650ci1 |
Quadratic twists by: -4 -3 5 |