Atkin-Lehner |
3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
13965n |
Isogeny class |
Conductor |
13965 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
21120 |
Modular degree for the optimal curve |
Δ |
-1337650582275 = -1 · 32 · 52 · 74 · 195 |
Discriminant |
Eigenvalues |
0 3- 5+ 7+ -5 4 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5651,170846] |
[a1,a2,a3,a4,a6] |
Generators |
[52:142:1] |
Generators of the group modulo torsion |
j |
-8313508102144/557122275 |
j-invariant |
L |
4.1656459463236 |
L(r)(E,1)/r! |
Ω |
0.84316686209544 |
Real period |
R |
0.24702381779872 |
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 |
41895bi1 69825g1 13965j1 |
Quadratic twists by: -3 5 -7 |