Atkin-Lehner |
5+ 11- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
103675v |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3292800 |
Modular degree for the optimal curve |
Δ |
-2.6017900473157E+20 |
Discriminant |
Eigenvalues |
-1 -1 5+ 3 11- 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3128138,2265196656] |
[a1,a2,a3,a4,a6] |
Generators |
[966:-12567:1] |
Generators of the group modulo torsion |
j |
-346642165807938025/26642330084513 |
j-invariant |
L |
4.0559200566155 |
L(r)(E,1)/r! |
Ω |
0.17139319506302 |
Real period |
R |
0.84515774821031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675be1 |
Quadratic twists by: 5 |