Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11970ck |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-116257624614731250 = -1 · 2 · 318 · 55 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-95387,-19918339] |
[a1,a2,a3,a4,a6] |
j |
-131661708271504489/159475479581250 |
j-invariant |
L |
3.8949912925885 |
L(r)(E,1)/r! |
Ω |
0.12983304308628 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760em1 3990o1 59850bo1 83790dw1 |
Quadratic twists by: -4 -3 5 -7 |