Atkin-Lehner |
5+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
54145f |
Isogeny class |
Conductor |
54145 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
24528 |
Modular degree for the optimal curve |
Δ |
-6370105105 = -1 · 5 · 78 · 13 · 17 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,407,-2278] |
[a1,a2,a3,a4,a6] |
Generators |
[20:106:1] |
Generators of the group modulo torsion |
j |
1296351/1105 |
j-invariant |
L |
2.5900160549021 |
L(r)(E,1)/r! |
Ω |
0.73835199325351 |
Real period |
R |
3.5078337683435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54145r1 |
Quadratic twists by: -7 |