Atkin-Lehner |
3+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
11613a |
Isogeny class |
Conductor |
11613 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-288693599012847 = -1 · 32 · 77 · 794 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10093,722504] |
[a1,a2,a3,a4,a6] |
j |
966481627103/2453855103 |
j-invariant |
L |
0.76594530664544 |
L(r)(E,1)/r! |
Ω |
0.38297265332272 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34839g3 1659d4 |
Quadratic twists by: -3 -7 |