Atkin-Lehner |
2+ 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200g |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2034547920000000 = -1 · 210 · 32 · 57 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,9992,2132512] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:450:1] [-3:1450:1] |
Generators of the group modulo torsion |
j |
6894734396/127159245 |
j-invariant |
L |
8.2289413481414 |
L(r)(E,1)/r! |
Ω |
0.34713499648927 |
Real period |
R |
5.9263265238055 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24600q3 9840j4 |
Quadratic twists by: -4 5 |