Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13650bk |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
10080 |
Modular degree for the optimal curve |
Δ |
-884520000 = -1 · 26 · 35 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-326,2648] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:61:1] |
Generators of the group modulo torsion |
j |
-6103515625/1415232 |
j-invariant |
L |
4.1199781140281 |
L(r)(E,1)/r! |
Ω |
1.5057303786524 |
Real period |
R |
0.091206636824214 |
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 |
109200es1 40950ey1 13650bx1 95550cr1 |
Quadratic twists by: -4 -3 5 -7 |