Atkin-Lehner |
2+ 3+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
74022d |
Isogeny class |
Conductor |
74022 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-181146058289586 = -1 · 2 · 32 · 1310 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -3 1 6 13+ 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,13686,-193266] |
[a1,a2,a3,a4,a6] |
Generators |
[417:8637:1] |
Generators of the group modulo torsion |
j |
2056223/1314 |
j-invariant |
L |
3.6700940758906 |
L(r)(E,1)/r! |
Ω |
0.32639094564386 |
Real period |
R |
5.6222363464805 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74022p1 |
Quadratic twists by: 13 |