Atkin-Lehner |
7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13013h |
Isogeny class |
Conductor |
13013 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
372407993250293 = 73 · 113 · 138 |
Discriminant |
Eigenvalues |
0 -2 0 7- 11+ 13+ -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-29293,-1701475] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:422:1] [-97:486:1] |
Generators of the group modulo torsion |
j |
3407872000/456533 |
j-invariant |
L |
4.2298505816483 |
L(r)(E,1)/r! |
Ω |
0.36816183235933 |
Real period |
R |
1.2765674131647 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117bp2 91091a2 13013b2 |
Quadratic twists by: -3 -7 13 |