Atkin-Lehner |
2+ 3+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
41070f |
Isogeny class |
Conductor |
41070 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
459648 |
Modular degree for the optimal curve |
Δ |
-13670190307152000 = -1 · 27 · 32 · 53 · 377 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -5 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-177998,29373108] |
[a1,a2,a3,a4,a6] |
Generators |
[311:1898:1] |
Generators of the group modulo torsion |
j |
-243087455521/5328000 |
j-invariant |
L |
2.2483526566532 |
L(r)(E,1)/r! |
Ω |
0.3969444435994 |
Real period |
R |
1.4160373654975 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123210do1 1110j1 |
Quadratic twists by: -3 37 |