Atkin-Lehner |
2- 3+ 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398v |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
440606628 = 22 · 35 · 72 · 11 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11+ -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2748,-56583] |
[a1,a2,a3,a4,a6] |
j |
2295005733042625/440606628 |
j-invariant |
L |
1.3188018521761 |
L(r)(E,1)/r! |
Ω |
0.65940092608807 |
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 |
107184cu1 40194o1 93786cm1 |
Quadratic twists by: -4 -3 -7 |