Atkin-Lehner |
2+ 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119130q |
Isogeny class |
Conductor |
119130 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
1408059417600 = 210 · 36 · 52 · 11 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4188,86938] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:450:1] |
Generators of the group modulo torsion |
j |
1183951334539/205286400 |
j-invariant |
L |
7.8592230185782 |
L(r)(E,1)/r! |
Ω |
0.8137085936634 |
Real period |
R |
0.80487690593733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999442048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119130bg1 |
Quadratic twists by: -19 |