Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55860x |
Isogeny class |
Conductor |
55860 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
5362560 |
Modular degree for the optimal curve |
Δ |
-6.9927681033215E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19615941,33674283495] |
[a1,a2,a3,a4,a6] |
Generators |
[3789:-117306:1] |
Generators of the group modulo torsion |
j |
-80803253653798912/676903564125 |
j-invariant |
L |
7.7362532737873 |
L(r)(E,1)/r! |
Ω |
0.13347348224466 |
Real period |
R |
0.27600464665052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55860m1 |
Quadratic twists by: -7 |