Atkin-Lehner |
2- 3+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
4848m |
Isogeny class |
Conductor |
4848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
33509376 = 212 · 34 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 6 1 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-243] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:9:1] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
3.3834973760295 |
L(r)(E,1)/r! |
Ω |
1.5382919381138 |
Real period |
R |
1.0997578847674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
303b1 19392bh1 14544r1 121200dl1 |
Quadratic twists by: -4 8 -3 5 |