Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bm |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
7255828125000 = 23 · 36 · 59 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-69826,-7106452] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:107:1] |
Generators of the group modulo torsion |
j |
19276856949797/3714984 |
j-invariant |
L |
3.8441491789546 |
L(r)(E,1)/r! |
Ω |
0.29369802839613 |
Real period |
R |
2.1814635029202 |
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 |
109200eu2 40950ez2 13650cj2 95550cu2 |
Quadratic twists by: -4 -3 5 -7 |