Atkin-Lehner |
3- 5+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21945t |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-2405837216036937375 = -1 · 320 · 53 · 74 · 112 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-97714,-75554713] |
[a1,a2,a3,a4,a6] |
j |
-103178140959069508249/2405837216036937375 |
j-invariant |
L |
2.2333182204514 |
L(r)(E,1)/r! |
Ω |
0.11166591102257 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835bb1 109725x1 |
Quadratic twists by: -3 5 |