Atkin-Lehner |
3+ 5+ 29+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
116145a |
Isogeny class |
Conductor |
116145 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13696 |
Modular degree for the optimal curve |
Δ |
1742175 = 33 · 52 · 29 · 89 |
Discriminant |
Eigenvalues |
1 3+ 5+ -1 0 4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30,1] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:73:8] [0:1:1] |
Generators of the group modulo torsion |
j |
112678587/64525 |
j-invariant |
L |
13.415143833635 |
L(r)(E,1)/r! |
Ω |
2.2085838641931 |
Real period |
R |
1.5185232550469 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997319 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116145d1 |
Quadratic twists by: -3 |