Atkin-Lehner |
2+ 7+ 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
7714a |
Isogeny class |
Conductor |
7714 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
12356425257605632 = 29 · 72 · 198 · 29 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ 4 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-60184,1936704] |
[a1,a2,a3,a4,a6] |
Generators |
[206:4979:8] |
Generators of the group modulo torsion |
j |
24108540392989407321/12356425257605632 |
j-invariant |
L |
2.0856711445923 |
L(r)(E,1)/r! |
Ω |
0.35322855763805 |
Real period |
R |
5.9045937806916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61712l2 69426bm2 53998e2 |
Quadratic twists by: -4 -3 -7 |