Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
46350q |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
18453381120000000 = 220 · 37 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-84042,-6703884] |
[a1,a2,a3,a4,a6] |
Generators |
[-1818:7209:8] |
Generators of the group modulo torsion |
j |
5763259856089/1620049920 |
j-invariant |
L |
4.4997451409505 |
L(r)(E,1)/r! |
Ω |
0.28636814152847 |
Real period |
R |
3.9282871314889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15450bd1 9270u1 |
Quadratic twists by: -3 5 |