Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792u |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-216662016 = -1 · 217 · 3 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 1 2 -5 -5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1407] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:48:1] |
Generators of the group modulo torsion |
j |
-9653618/1653 |
j-invariant |
L |
8.6297641272947 |
L(r)(E,1)/r! |
Ω |
1.7074753767762 |
Real period |
R |
1.2635268788998 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999916916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792bb1 13224a1 |
Quadratic twists by: -4 8 |