Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9920u |
Isogeny class |
Conductor |
9920 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-63488000 = -1 · 214 · 53 · 31 |
Discriminant |
Eigenvalues |
2- -1 5+ -2 -2 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,-515] |
[a1,a2,a3,a4,a6] |
Generators |
[36:203:1] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
2.7398456136045 |
L(r)(E,1)/r! |
Ω |
0.73354299304593 |
Real period |
R |
3.7350852500515 |
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 |
9920c1 2480f1 89280fw1 49600cf1 |
Quadratic twists by: -4 8 -3 5 |