Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520w |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-292464640000000 = -1 · 217 · 57 · 134 |
Discriminant |
Eigenvalues |
2- 0 5- 3 3 13+ -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14027,-1042054] |
[a1,a2,a3,a4,a6] |
Generators |
[247:3250:1] |
Generators of the group modulo torsion |
j |
-2609064081/2500000 |
j-invariant |
L |
5.4661546002487 |
L(r)(E,1)/r! |
Ω |
0.21108830617249 |
Real period |
R |
0.61655020337701 |
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 |
1690g1 54080by1 121680dv1 67600bi1 |
Quadratic twists by: -4 8 -3 5 |