Atkin-Lehner |
3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
124215be |
Isogeny class |
Conductor |
124215 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6260758503752025 = 32 · 52 · 78 · 136 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-62280,4588800] |
[a1,a2,a3,a4,a6] |
Generators |
[-232:2688:1] |
Generators of the group modulo torsion |
j |
47045881/11025 |
j-invariant |
L |
3.5826035458808 |
L(r)(E,1)/r! |
Ω |
0.39865636700925 |
Real period |
R |
2.2466739385387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000181745 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17745n2 735a2 |
Quadratic twists by: -7 13 |