Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78078c |
Isogeny class |
Conductor |
78078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
126627511282272 = 25 · 32 · 72 · 11 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 11+ 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-318230,68962548] |
[a1,a2,a3,a4,a6] |
Generators |
[31:7674:1] |
Generators of the group modulo torsion |
j |
738395577816625/26234208 |
j-invariant |
L |
2.6432056369325 |
L(r)(E,1)/r! |
Ω |
0.54874768436056 |
Real period |
R |
1.2041989923606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006z2 |
Quadratic twists by: 13 |