Atkin-Lehner |
2+ 3- 7+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13398i |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-410300352 = -1 · 26 · 32 · 7 · 112 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 4 7+ 11+ 4 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,81,-926] |
[a1,a2,a3,a4,a6] |
j |
59822347031/410300352 |
j-invariant |
L |
3.3531761058159 |
L(r)(E,1)/r! |
Ω |
0.83829402645397 |
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 |
107184bx1 40194br1 93786k1 |
Quadratic twists by: -4 -3 -7 |