Atkin-Lehner |
2+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088i |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-256616142209024 = -1 · 225 · 133 · 592 |
Discriminant |
Eigenvalues |
2+ 1 3 5 2 13- 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,13151,511423] |
[a1,a2,a3,a4,a6] |
Generators |
[9777:196352:27] |
Generators of the group modulo torsion |
j |
959460498647/978912896 |
j-invariant |
L |
10.766782798287 |
L(r)(E,1)/r! |
Ω |
0.36506859296378 |
Real period |
R |
1.2288538608274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999608 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088s1 1534a1 |
Quadratic twists by: -4 8 |