Atkin-Lehner |
2- 3- 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
108360bx |
Isogeny class |
Conductor |
108360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
114688 |
Modular degree for the optimal curve |
Δ |
19748610000 = 24 · 38 · 54 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8202,285829] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:675:1] |
Generators of the group modulo torsion |
j |
5231611623424/1693125 |
j-invariant |
L |
8.8786117684009 |
L(r)(E,1)/r! |
Ω |
1.1931580739476 |
Real period |
R |
0.93015878985365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36120o1 |
Quadratic twists by: -3 |