Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gl |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-834803200000000 = -1 · 215 · 58 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20500,810000] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-1400:1] |
Generators of the group modulo torsion |
j |
74434680/65219 |
j-invariant |
L |
4.4682531708091 |
L(r)(E,1)/r! |
Ω |
0.32618697412508 |
Real period |
R |
0.57076838264551 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000203515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200hn1 61600bu1 123200fb1 |
Quadratic twists by: -4 8 5 |