Atkin-Lehner |
2+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152d |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2279424 |
Modular degree for the optimal curve |
Δ |
-740609638143967232 = -1 · 214 · 318 · 53 |
Discriminant |
Eigenvalues |
2+ -3 2 -2 6 -1 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,99716,39591472] |
[a1,a2,a3,a4,a6] |
Generators |
[-109714:7388168:1331] |
Generators of the group modulo torsion |
j |
6692653173782448/45203224984373 |
j-invariant |
L |
4.6703386747061 |
L(r)(E,1)/r! |
Ω |
0.2068304171294 |
Real period |
R |
2.8225651794692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000015309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152s1 6572d1 |
Quadratic twists by: -4 8 |