Atkin-Lehner |
2+ 3+ 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850j |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1136507625000000 = 26 · 33 · 59 · 114 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28692,-924784] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1008:1] |
Generators of the group modulo torsion |
j |
6191999358147/2693944000 |
j-invariant |
L |
5.4195722308286 |
L(r)(E,1)/r! |
Ω |
0.38168629115572 |
Real period |
R |
1.7748777997966 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000061917 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113850db1 22770bb1 |
Quadratic twists by: -3 5 |