Atkin-Lehner |
2+ 3+ 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
49200k |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
134500500000000 = 28 · 38 · 59 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30708,2004912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1500:1] [68:476:1] |
Generators of the group modulo torsion |
j |
6405048848/269001 |
j-invariant |
L |
8.3752983016198 |
L(r)(E,1)/r! |
Ω |
0.57811377649887 |
Real period |
R |
7.2436418591694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24600s2 49200bk2 |
Quadratic twists by: -4 5 |