Atkin-Lehner |
2+ 3- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090d |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-151848000000 = -1 · 29 · 33 · 56 · 19 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-532073,149339756] |
[a1,a2,a3,a4,a6] |
Generators |
[630:7702:1] |
Generators of the group modulo torsion |
j |
-16658511866617100021641/151848000000 |
j-invariant |
L |
5.274515047739 |
L(r)(E,1)/r! |
Ω |
0.71518875178315 |
Real period |
R |
3.6874986041015 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
63270ba1 105450bs1 |
Quadratic twists by: -3 5 |