Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475k |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
226474325 = 52 · 77 · 11 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 11- -3 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-245,1286] |
[a1,a2,a3,a4,a6] |
Generators |
[14:24:1] |
Generators of the group modulo torsion |
j |
552960/77 |
j-invariant |
L |
2.0146143678844 |
L(r)(E,1)/r! |
Ω |
1.6989427139214 |
Real period |
R |
0.29645119158172 |
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 |
121275dl1 13475w1 1925g1 |
Quadratic twists by: -3 5 -7 |