Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
49440b |
Isogeny class |
Conductor |
49440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
112000 |
Modular degree for the optimal curve |
Δ |
15643125000000 = 26 · 35 · 510 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32330,2240172] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1750:1] |
Generators of the group modulo torsion |
j |
58394814756497344/244423828125 |
j-invariant |
L |
5.1461721914047 |
L(r)(E,1)/r! |
Ω |
0.70173332605922 |
Real period |
R |
1.4667030908505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999719 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49440f1 98880br2 |
Quadratic twists by: -4 8 |