Atkin-Lehner |
2- 3+ 5- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310bm |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
Δ |
4518899889528240000 = 27 · 39 · 54 · 196 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 0 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1220807,-508701761] |
[a1,a2,a3,a4,a6] |
Generators |
[-581:2342:1] |
Generators of the group modulo torsion |
j |
10222876603315488267/229583899280000 |
j-invariant |
L |
11.650791457642 |
L(r)(E,1)/r! |
Ω |
0.14382405549705 |
Real period |
R |
0.96437204324649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104310c2 |
Quadratic twists by: -3 |