Atkin-Lehner |
3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
13275b |
Isogeny class |
Conductor |
13275 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
315818348203125 = 39 · 57 · 593 |
Discriminant |
Eigenvalues |
0 3+ 5+ -2 3 -5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17550,-264094] |
[a1,a2,a3,a4,a6] |
Generators |
[-120:337:1] |
Generators of the group modulo torsion |
j |
1943764992/1026895 |
j-invariant |
L |
3.2869664049135 |
L(r)(E,1)/r! |
Ω |
0.44018790021586 |
Real period |
R |
1.8667973400119 |
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 |
13275e1 2655c2 |
Quadratic twists by: -3 5 |