Atkin-Lehner |
2+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
49088k |
Isogeny class |
Conductor |
49088 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
90880 |
Modular degree for the optimal curve |
Δ |
-42351687532544 = -1 · 215 · 135 · 592 |
Discriminant |
Eigenvalues |
2+ -1 -1 -1 2 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22081,-1293823] |
[a1,a2,a3,a4,a6] |
Generators |
[361:-6136:1] |
Generators of the group modulo torsion |
j |
-36337049331848/1292470933 |
j-invariant |
L |
3.5345720495247 |
L(r)(E,1)/r! |
Ω |
0.19541440758641 |
Real period |
R |
0.45218928496403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999942 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49088g1 24544b1 |
Quadratic twists by: -4 8 |