Atkin-Lehner |
2+ 3- 7+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398l |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-528202752 = -1 · 210 · 3 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-820,-9166] |
[a1,a2,a3,a4,a6] |
Generators |
[3201:179503:1] |
Generators of the group modulo torsion |
j |
-60870056845753/528202752 |
j-invariant |
L |
4.5881229565635 |
L(r)(E,1)/r! |
Ω |
0.44591766234764 |
Real period |
R |
5.1445853618001 |
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 |
107184bq1 40194bm1 93786r1 |
Quadratic twists by: -4 -3 -7 |