Atkin-Lehner |
2- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
13300l |
Isogeny class |
Conductor |
13300 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
50540000000 = 28 · 57 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4508,117512] |
[a1,a2,a3,a4,a6] |
Generators |
[15342:83825:216] |
Generators of the group modulo torsion |
j |
2533446736/12635 |
j-invariant |
L |
6.8847373138293 |
L(r)(E,1)/r! |
Ω |
1.1320880621445 |
Real period |
R |
6.0814503253285 |
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 |
53200by2 119700y2 2660f2 93100bd2 |
Quadratic twists by: -4 -3 5 -7 |