Atkin-Lehner |
2- 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970bo |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-14708736000 = -1 · 215 · 33 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -3 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,583,2009] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:16:1] |
Generators of the group modulo torsion |
j |
812949929037/544768000 |
j-invariant |
L |
7.4703854222277 |
L(r)(E,1)/r! |
Ω |
0.78438968537717 |
Real period |
R |
0.95238190423624 |
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 |
95760cn1 11970f2 59850l1 83790ct1 |
Quadratic twists by: -4 -3 5 -7 |