Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370k |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-420660 = -1 · 22 · 33 · 5 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -2 -4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9,33] |
[a1,a2,a3,a4,a6] |
Generators |
[3:8:1] |
Generators of the group modulo torsion |
j |
80062991/420660 |
j-invariant |
L |
6.6346898030648 |
L(r)(E,1)/r! |
Ω |
2.1501322502267 |
Real period |
R |
1.5428562132318 |
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 |
70110z1 116850bf1 |
Quadratic twists by: -3 5 |