Atkin-Lehner |
2+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
48050n |
Isogeny class |
Conductor |
48050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
803520 |
Modular degree for the optimal curve |
Δ |
4098141434904005000 = 23 · 54 · 3110 |
Discriminant |
Eigenvalues |
2+ -2 5- 3 -2 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-481001,-83707452] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:6251:1] |
Generators of the group modulo torsion |
j |
24025/8 |
j-invariant |
L |
3.0192828693095 |
L(r)(E,1)/r! |
Ω |
0.18613602100302 |
Real period |
R |
5.4069471222237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48050w1 48050h1 |
Quadratic twists by: 5 -31 |