Atkin-Lehner |
7- 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
74333g |
Isogeny class |
Conductor |
74333 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20544 |
Modular degree for the optimal curve |
Δ |
-2750321 = -1 · 72 · 372 · 41 |
Discriminant |
Eigenvalues |
-1 1 -3 7- -3 -2 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-442,3541] |
[a1,a2,a3,a4,a6] |
Generators |
[15:-26:1] |
Generators of the group modulo torsion |
j |
-194919751537/56129 |
j-invariant |
L |
1.5267527322252 |
L(r)(E,1)/r! |
Ω |
2.4957179710469 |
Real period |
R |
0.30587445159328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74333b1 |
Quadratic twists by: -7 |