Atkin-Lehner |
2+ 3- 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398j |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3094938 = 2 · 32 · 72 · 112 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-305,2018] |
[a1,a2,a3,a4,a6] |
Generators |
[8:6:1] |
Generators of the group modulo torsion |
j |
3123019823113/3094938 |
j-invariant |
L |
4.5954502032234 |
L(r)(E,1)/r! |
Ω |
2.514599836512 |
Real period |
R |
0.91375377833433 |
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 |
107184ca2 40194bp2 93786l2 |
Quadratic twists by: -4 -3 -7 |