Atkin-Lehner |
2+ 3+ 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
74160f |
Isogeny class |
Conductor |
74160 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
68096 |
Modular degree for the optimal curve |
Δ |
-222480000000 = -1 · 210 · 33 · 57 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -2 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,813,20866] |
[a1,a2,a3,a4,a6] |
Generators |
[27:250:1] [-13:90:1] |
Generators of the group modulo torsion |
j |
2149471188/8046875 |
j-invariant |
L |
10.381520557044 |
L(r)(E,1)/r! |
Ω |
0.70795294595459 |
Real period |
R |
0.52371925766974 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37080d1 74160b1 |
Quadratic twists by: -4 -3 |