Atkin-Lehner |
2+ 3+ 7+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
7686a |
Isogeny class |
Conductor |
7686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-34466659514028 = -1 · 22 · 39 · 76 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11193,-533431] |
[a1,a2,a3,a4,a6] |
Generators |
[140:723:1] |
Generators of the group modulo torsion |
j |
-7879411029699/1751087716 |
j-invariant |
L |
2.671335937261 |
L(r)(E,1)/r! |
Ω |
0.22935938608323 |
Real period |
R |
2.9117360127259 |
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 |
61488q2 7686l2 53802h2 |
Quadratic twists by: -4 -3 -7 |