Atkin-Lehner |
3+ 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
103341g |
Isogeny class |
Conductor |
103341 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2661120 |
Modular degree for the optimal curve |
Δ |
-3.8758959500939E+19 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- 4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,678061,-208367062] |
[a1,a2,a3,a4,a6] |
Generators |
[363:9079:1] |
Generators of the group modulo torsion |
j |
854373185117369/960483148407 |
j-invariant |
L |
5.202829545757 |
L(r)(E,1)/r! |
Ω |
0.11039725964559 |
Real period |
R |
2.3564124424736 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103341y1 |
Quadratic twists by: -7 |