Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
107328n |
Isogeny class |
Conductor |
107328 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
6676660224 = 214 · 36 · 13 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11889,502929] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:972:1] |
Generators of the group modulo torsion |
j |
11344262899408/407511 |
j-invariant |
L |
3.1008879642851 |
L(r)(E,1)/r! |
Ω |
1.2473541648149 |
Real period |
R |
2.4859723378463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004856 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107328ci2 6708f2 |
Quadratic twists by: -4 8 |