Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
102850ca |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
124992 |
Modular degree for the optimal curve |
Δ |
-9268019200 = -1 · 214 · 52 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13465,-598023] |
[a1,a2,a3,a4,a6] |
Generators |
[135:108:1] |
Generators of the group modulo torsion |
j |
-8113242988755/278528 |
j-invariant |
L |
11.665530100565 |
L(r)(E,1)/r! |
Ω |
0.22159991775734 |
Real period |
R |
1.8800822625179 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850bg1 102850a1 |
Quadratic twists by: 5 -11 |