Atkin-Lehner |
2+ 3- 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
94050bt |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-5147443775460937500 = -1 · 22 · 38 · 59 · 114 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11+ 2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111492,110121916] |
[a1,a2,a3,a4,a6] |
Generators |
[170:9716:1] |
Generators of the group modulo torsion |
j |
-107646386093/3615214284 |
j-invariant |
L |
4.4946073765247 |
L(r)(E,1)/r! |
Ω |
0.20199200073297 |
Real period |
R |
2.7814265935072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999920113 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350br1 94050ds1 |
Quadratic twists by: -3 5 |