Atkin-Lehner |
7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78337b |
Isogeny class |
Conductor |
78337 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3297323897155226827 = -1 · 73 · 199 · 313 |
Discriminant |
Eigenvalues |
0 2 0 7- -6 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-466893,-150545681] |
[a1,a2,a3,a4,a6] |
Generators |
[30299:5272585:1] |
Generators of the group modulo torsion |
j |
-239251750912000/70087408867 |
j-invariant |
L |
6.5748686637189 |
L(r)(E,1)/r! |
Ω |
0.089959859366335 |
Real period |
R |
6.090557788307 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123c2 |
Quadratic twists by: -19 |