Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350bb |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-13147884748800 = -1 · 224 · 36 · 52 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 5 -7 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-368757,-86098379] |
[a1,a2,a3,a4,a6] |
Generators |
[364538:219914243:1] |
Generators of the group modulo torsion |
j |
-304282977309754105/721420288 |
j-invariant |
L |
2.9253832075222 |
L(r)(E,1)/r! |
Ω |
0.096868901256353 |
Real period |
R |
7.5498513185891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2150n1 19350cr1 |
Quadratic twists by: -3 5 |