Atkin-Lehner |
2+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088j |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-2274692366336 = -1 · 216 · 132 · 593 |
Discriminant |
Eigenvalues |
2+ -1 1 -1 -4 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2145,-81311] |
[a1,a2,a3,a4,a6] |
Generators |
[96:767:1] |
Generators of the group modulo torsion |
j |
-16662038116/34709051 |
j-invariant |
L |
3.3527643119776 |
L(r)(E,1)/r! |
Ω |
0.32906299934872 |
Real period |
R |
0.84906849615406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088r1 6136d1 |
Quadratic twists by: -4 8 |