Atkin-Lehner |
2+ 3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
107640d |
Isogeny class |
Conductor |
107640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2010624 |
Modular degree for the optimal curve |
Δ |
-145442910118671360 = -1 · 210 · 39 · 5 · 137 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -3 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3154707,-2156762754] |
[a1,a2,a3,a4,a6] |
Generators |
[3046841551610411439525:817896687943765041444348:42255827208890443] |
Generators of the group modulo torsion |
j |
-172269959394022668/7216079455 |
j-invariant |
L |
7.7108480951201 |
L(r)(E,1)/r! |
Ω |
0.056640712805168 |
Real period |
R |
34.034035383893 |
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 |
107640u1 |
Quadratic twists by: -3 |