Atkin-Lehner |
7+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
119357a |
Isogeny class |
Conductor |
119357 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55808 |
Modular degree for the optimal curve |
Δ |
838005497 = 72 · 173 · 592 |
Discriminant |
Eigenvalues |
-1 0 -4 7+ 2 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-352,2210] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:61:1] |
Generators of the group modulo torsion |
j |
979146657/170569 |
j-invariant |
L |
2.1220212668192 |
L(r)(E,1)/r! |
Ω |
1.51066551695 |
Real period |
R |
0.70234652206311 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996378838 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119357d1 |
Quadratic twists by: 17 |