Atkin-Lehner |
3- 5- 7- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77805z |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-284907997610145 = -1 · 37 · 5 · 7 · 134 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6399,-834062] |
[a1,a2,a3,a4,a6] |
Generators |
[318836:22339979:64] |
Generators of the group modulo torsion |
j |
-39753071528689/390820298505 |
j-invariant |
L |
9.485368575834 |
L(r)(E,1)/r! |
Ω |
0.23248052814878 |
Real period |
R |
10.200175313211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997176 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935f3 |
Quadratic twists by: -3 |