Atkin-Lehner |
2+ 3+ 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010a |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
95040 |
Modular degree for the optimal curve |
Δ |
-2150983434240 = -1 · 215 · 39 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -6 -1 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27193,1716133] |
[a1,a2,a3,a4,a6] |
Generators |
[93:2:1] |
Generators of the group modulo torsion |
j |
-2223924474683852569/2150983434240 |
j-invariant |
L |
2.9621864549733 |
L(r)(E,1)/r! |
Ω |
0.81943531835541 |
Real period |
R |
3.6149118650613 |
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 |
60030bu1 100050cl1 |
Quadratic twists by: -3 5 |