Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200bi |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
8302500000000 = 28 · 34 · 510 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28508,-1857012] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:72:1] |
Generators of the group modulo torsion |
j |
640588599376/2075625 |
j-invariant |
L |
6.2133442213331 |
L(r)(E,1)/r! |
Ω |
0.36748634222718 |
Real period |
R |
2.1134609328818 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600l1 9840f1 |
Quadratic twists by: -4 5 |