Atkin-Lehner |
2- 3+ 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
21630s |
Isogeny class |
Conductor |
21630 |
Conductor |
∏ cp |
616 |
Product of Tamagawa factors cp |
deg |
384384 |
Modular degree for the optimal curve |
Δ |
-1126774293750000000 = -1 · 27 · 36 · 511 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 1 -3 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-163925,-57172165] |
[a1,a2,a3,a4,a6] |
Generators |
[2433:-119342:1] |
Generators of the group modulo torsion |
j |
-487146352052683285201/1126774293750000000 |
j-invariant |
L |
7.3050107615582 |
L(r)(E,1)/r! |
Ω |
0.11084673598587 |
Real period |
R |
0.10698360757632 |
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 |
64890q1 108150x1 |
Quadratic twists by: -3 5 |