Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763q |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-11564834110249203 = -1 · 313 · 72 · 236 |
Discriminant |
Eigenvalues |
2 3+ -2 7- 2 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-482624,-128993971] |
[a1,a2,a3,a4,a6] |
Generators |
[1746686634842903150961844285542:-3521912870005969474173418296988031:429623132030653128835896] |
Generators of the group modulo torsion |
j |
-1713910976512/1594323 |
j-invariant |
L |
8.759243838491 |
L(r)(E,1)/r! |
Ω |
0.090561379645199 |
Real period |
R |
48.360812704091 |
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 |
77763ba2 147c2 |
Quadratic twists by: -7 -23 |