Atkin-Lehner |
2- 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
21090g |
Isogeny class |
Conductor |
21090 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
114240 |
Modular degree for the optimal curve |
Δ |
-49239244800000 = -1 · 217 · 32 · 55 · 192 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 -3 -4 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1520,337745] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:229:1] [-67:413:1] |
Generators of the group modulo torsion |
j |
-388393840039681/49239244800000 |
j-invariant |
L |
8.679765329061 |
L(r)(E,1)/r! |
Ω |
0.52027370563699 |
Real period |
R |
0.049067868084559 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63270h1 105450y1 |
Quadratic twists by: -3 5 |