Atkin-Lehner |
5- 7- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129115r |
Isogeny class |
Conductor |
129115 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
56036834592515 = 5 · 79 · 172 · 312 |
Discriminant |
Eigenvalues |
1 -2 5- 7- 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-12913,433941] |
[a1,a2,a3,a4,a6] |
Generators |
[-274:7449:8] |
Generators of the group modulo torsion |
j |
5900304943/1388645 |
j-invariant |
L |
5.4373937462159 |
L(r)(E,1)/r! |
Ω |
0.59045238711869 |
Real period |
R |
4.6044303994515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998250264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129115k2 |
Quadratic twists by: -7 |