Atkin-Lehner |
2+ 3- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
13398u |
Isogeny class |
Conductor |
13398 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
78362704728 = 23 · 32 · 76 · 11 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55216596,-157930207526] |
[a1,a2,a3,a4,a6] |
Generators |
[593334570:81780836737:27000] |
Generators of the group modulo torsion |
j |
18617981304923189443593501625/78362704728 |
j-invariant |
L |
4.6720197243213 |
L(r)(E,1)/r! |
Ω |
0.055383723216915 |
Real period |
R |
14.059545094212 |
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 |
107184bk4 40194bs4 93786v4 |
Quadratic twists by: -4 -3 -7 |