Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824k |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
4282368 |
Modular degree for the optimal curve |
Δ |
-4.7681311853473E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -5 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13028475,-18103461878] |
[a1,a2,a3,a4,a6] |
Generators |
[1468045:150456852:125] |
Generators of the group modulo torsion |
j |
-163812479280565531250/31936749730389 |
j-invariant |
L |
4.865392630093 |
L(r)(E,1)/r! |
Ω |
0.039732060076469 |
Real period |
R |
3.8267212890714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999695561 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51912q1 34608c1 |
Quadratic twists by: -4 -3 |