Atkin-Lehner |
3+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945h |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
4064060385 = 34 · 5 · 7 · 11 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ 11+ -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-770,7310] |
[a1,a2,a3,a4,a6] |
Generators |
[20:10:1] |
Generators of the group modulo torsion |
j |
50492995771681/4064060385 |
j-invariant |
L |
2.0417161326194 |
L(r)(E,1)/r! |
Ω |
1.3576186116151 |
Real period |
R |
3.0077904282565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65835o1 109725bw1 |
Quadratic twists by: -3 5 |