Atkin-Lehner |
2+ 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734c |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-3682711205316 = -1 · 22 · 34 · 113 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 1 5 11+ 13- 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,633,-91863] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1455:1] |
Generators of the group modulo torsion |
j |
27980945558279/3682711205316 |
j-invariant |
L |
4.2312282834167 |
L(r)(E,1)/r! |
Ω |
0.37273805294351 |
Real period |
R |
0.56758737805313 |
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 |
59202be1 |
Quadratic twists by: -3 |