Atkin-Lehner |
2+ 3- 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56610c |
Isogeny class |
Conductor |
56610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
131383991932560 = 24 · 312 · 5 · 174 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28755,-1786779] |
[a1,a2,a3,a4,a6] |
Generators |
[-31479:108354:343] |
Generators of the group modulo torsion |
j |
3606988811384881/180224954640 |
j-invariant |
L |
5.4286545933117 |
L(r)(E,1)/r! |
Ω |
0.36776106023234 |
Real period |
R |
7.3806816167437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000165 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870x1 |
Quadratic twists by: -3 |