Atkin-Lehner |
2+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334a |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-337318153433698304 = -1 · 212 · 76 · 176 · 29 |
Discriminant |
Eigenvalues |
2+ -1 3 7+ 3 -1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,37709,-27785107] |
[a1,a2,a3,a4,a6] |
Generators |
[60788:1853019:64] |
Generators of the group modulo torsion |
j |
245667233447/13974818816 |
j-invariant |
L |
4.7296536580073 |
L(r)(E,1)/r! |
Ω |
0.14529265199669 |
Real period |
R |
4.0690750396993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060207 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
406b2 |
Quadratic twists by: 17 |