Atkin-Lehner |
2- 19- 61- |
Signs for the Atkin-Lehner involutions |
Class |
74176t |
Isogeny class |
Conductor |
74176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-1443168256 = -1 · 216 · 192 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 1 3 -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2657,51871] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:304:1] [31:16:1] |
Generators of the group modulo torsion |
j |
-31665174628/22021 |
j-invariant |
L |
6.6083738601955 |
L(r)(E,1)/r! |
Ω |
1.5005251648435 |
Real period |
R |
0.55050508439521 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74176d1 18544a1 |
Quadratic twists by: -4 8 |