Atkin-Lehner |
2+ 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370b |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-280440 = -1 · 23 · 32 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 3 7 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,-27] |
[a1,a2,a3,a4,a6] |
Generators |
[3:0:1] |
Generators of the group modulo torsion |
j |
-4826809/280440 |
j-invariant |
L |
3.1591906585829 |
L(r)(E,1)/r! |
Ω |
1.3567191750278 |
Real period |
R |
1.1642758194665 |
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 |
70110bk1 116850ch1 |
Quadratic twists by: -3 5 |