Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21008i |
Isogeny class |
Conductor |
21008 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3428841728 = -1 · 28 · 13 · 1013 |
Discriminant |
Eigenvalues |
2- -1 0 -2 0 13- 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2548,50444] |
[a1,a2,a3,a4,a6] |
Generators |
[29:10:1] |
Generators of the group modulo torsion |
j |
-7149117778000/13393913 |
j-invariant |
L |
3.6326463195024 |
L(r)(E,1)/r! |
Ω |
1.4103332469615 |
Real period |
R |
2.5757361441551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5252b2 84032q2 |
Quadratic twists by: -4 8 |