Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800do |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
53498880 |
Modular degree for the optimal curve |
Δ |
-1.3678324130429E+26 |
Discriminant |
Eigenvalues |
2- 2 5- -5 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1441737208,-21077649587088] |
[a1,a2,a3,a4,a6] |
Generators |
[1122014988:76972953600:24389] |
Generators of the group modulo torsion |
j |
-207139083365807493797785/85489525815181312 |
j-invariant |
L |
6.9589622395655 |
L(r)(E,1)/r! |
Ω |
0.012250033622386 |
Real period |
R |
5.2599721377774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9350k1 74800cc1 |
Quadratic twists by: -4 5 |