Atkin-Lehner |
2+ 3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119130w |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1969920 |
Modular degree for the optimal curve |
Δ |
-11443580267130000 = -1 · 24 · 39 · 54 · 115 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 11- -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-143078,21445256] |
[a1,a2,a3,a4,a6] |
Generators |
[345:-3803:1] |
Generators of the group modulo torsion |
j |
-897285664343286001/31699668330000 |
j-invariant |
L |
5.6052487735003 |
L(r)(E,1)/r! |
Ω |
0.40065716508597 |
Real period |
R |
0.03886149241661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000063774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119130bk1 |
Quadratic twists by: -19 |