Atkin-Lehner |
2+ 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
74022f |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-42215194285056 = -1 · 210 · 32 · 137 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -2 -2 13+ -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-67772,6769872] |
[a1,a2,a3,a4,a6] |
Generators |
[152:20:1] [-8:2708:1] |
Generators of the group modulo torsion |
j |
-7132216495249/8745984 |
j-invariant |
L |
6.6973006682711 |
L(r)(E,1)/r! |
Ω |
0.64100384257513 |
Real period |
R |
1.306018042247 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999774 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5694e1 |
Quadratic twists by: 13 |