Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
4900k |
Isogeny class |
Conductor |
4900 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-11764900000000 = -1 · 28 · 58 · 76 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4492,-116012] |
[a1,a2,a3,a4,a6] |
Generators |
[1003:31850:1] |
Generators of the group modulo torsion |
j |
21296/25 |
j-invariant |
L |
2.6052989223285 |
L(r)(E,1)/r! |
Ω |
0.38440407878502 |
Real period |
R |
3.3887503620709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19600co2 78400cb2 44100bg2 980g2 |
Quadratic twists by: -4 8 -3 5 |