Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
2030a |
Isogeny class |
Conductor |
2030 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-259840 = -1 · 28 · 5 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,16,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:24:1] |
Generators of the group modulo torsion |
j |
437245479/259840 |
j-invariant |
L |
2.2798256035822 |
L(r)(E,1)/r! |
Ω |
1.8959657175224 |
Real period |
R |
2.4049228132261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16240t1 64960a1 18270bk1 10150m1 |
Quadratic twists by: -4 8 -3 5 |