Atkin-Lehner |
2+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850r |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4423680 |
Modular degree for the optimal curve |
Δ |
-1.8494205438124E+20 |
Discriminant |
Eigenvalues |
2+ -1 5+ 3 11- 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2047080,1302594880] |
[a1,a2,a3,a4,a6] |
Generators |
[2701:123098:1] |
Generators of the group modulo torsion |
j |
-21420636414894985/4175798730752 |
j-invariant |
L |
4.3985372440158 |
L(r)(E,1)/r! |
Ω |
0.17239965636946 |
Real period |
R |
3.189201002031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999756045 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850cz1 9350bb1 |
Quadratic twists by: 5 -11 |