Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7600p |
Isogeny class |
Conductor |
7600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-316940672000000 = -1 · 213 · 56 · 195 |
Discriminant |
Eigenvalues |
2- -1 5+ 3 -2 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-28008,2006512] |
[a1,a2,a3,a4,a6] |
Generators |
[42:950:1] |
Generators of the group modulo torsion |
j |
-37966934881/4952198 |
j-invariant |
L |
3.640315455429 |
L(r)(E,1)/r! |
Ω |
0.52680921266353 |
Real period |
R |
0.34550605493625 |
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 |
950a2 30400bf2 68400fm2 304a2 |
Quadratic twists by: -4 8 -3 5 |