Atkin-Lehner |
3+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
20097b |
Isogeny class |
Conductor |
20097 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-2484531819 = -1 · 33 · 73 · 11 · 293 |
Discriminant |
Eigenvalues |
-1 3+ -1 7+ 11+ 1 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-263,2970] |
[a1,a2,a3,a4,a6] |
Generators |
[0:54:1] [14:-51:1] |
Generators of the group modulo torsion |
j |
-74246873427/92019697 |
j-invariant |
L |
4.6116029339684 |
L(r)(E,1)/r! |
Ω |
1.3088814806601 |
Real period |
R |
0.58721931691418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20097c1 |
Quadratic twists by: -3 |