Atkin-Lehner |
3- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945bc |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
deg |
1475136 |
Modular degree for the optimal curve |
Δ |
-678049296197853195 = -1 · 313 · 5 · 7 · 116 · 193 |
Discriminant |
Eigenvalues |
-2 3- 5- 7- 11- 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-20102180,34684005704] |
[a1,a2,a3,a4,a6] |
Generators |
[2593:-446:1] |
Generators of the group modulo torsion |
j |
-898365791166868060153532416/678049296197853195 |
j-invariant |
L |
3.6797297456511 |
L(r)(E,1)/r! |
Ω |
0.23835473382846 |
Real period |
R |
0.19792358063295 |
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 |
65835q1 109725h1 |
Quadratic twists by: -3 5 |