Atkin-Lehner |
2+ 3+ 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398h |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-1.3298270478488E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17559,554818005] |
[a1,a2,a3,a4,a6] |
j |
-598772290291596793/132982704784882681344 |
j-invariant |
L |
1.4713721873215 |
L(r)(E,1)/r! |
Ω |
0.14713721873215 |
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 |
107184ch2 40194bu2 93786bq2 |
Quadratic twists by: -4 -3 -7 |