Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
126400b |
Isogeny class |
Conductor |
126400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1617920000000 = 218 · 57 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3370700,2381926000] |
[a1,a2,a3,a4,a6] |
Generators |
[160516120817:772173507:151419437] |
Generators of the group modulo torsion |
j |
1034008400994561/395 |
j-invariant |
L |
7.6410917478057 |
L(r)(E,1)/r! |
Ω |
0.50705427806189 |
Real period |
R |
15.069573392515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126400bv4 1975a4 25280b4 |
Quadratic twists by: -4 8 5 |