Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850cu |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
1428 |
Product of Tamagawa factors cp |
deg |
100074240 |
Modular degree for the optimal curve |
Δ |
-3.9849384743551E+27 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 5 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-309176263,3688169835017] |
[a1,a2,a3,a4,a6] |
Generators |
[10418:-1269295:1] |
Generators of the group modulo torsion |
j |
-8367237728504694077220625/10201442494348959141888 |
j-invariant |
L |
14.022740925224 |
L(r)(E,1)/r! |
Ω |
0.039814000944659 |
Real period |
R |
0.24664304855276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850h1 |
Quadratic twists by: 5 |