Atkin-Lehner |
2- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119548a |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1869120 |
Modular degree for the optimal curve |
Δ |
4258380791975628032 = 28 · 119 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 -2 -3 11+ 13+ -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660176,-181021324] |
[a1,a2,a3,a4,a6] |
Generators |
[1283810:514281097:8] |
Generators of the group modulo torsion |
j |
52714340352/7054567 |
j-invariant |
L |
3.3044640834274 |
L(r)(E,1)/r! |
Ω |
0.16897080744679 |
Real period |
R |
9.7782102602958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997497146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119548b1 |
Quadratic twists by: -11 |