Atkin-Lehner |
2+ 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
34320c |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-510407040000 = -1 · 210 · 3 · 54 · 112 · 133 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 13- 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1464,-27264] |
[a1,a2,a3,a4,a6] |
Generators |
[38:-286:1] |
Generators of the group modulo torsion |
j |
338649393884/498444375 |
j-invariant |
L |
3.3620066565619 |
L(r)(E,1)/r! |
Ω |
0.49220532843559 |
Real period |
R |
0.56920802192587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17160v1 102960bk1 |
Quadratic twists by: -4 -3 |