Atkin-Lehner |
2- 3- 7+ 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
74382bk |
Isogeny class |
Conductor |
74382 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25728 |
Modular degree for the optimal curve |
Δ |
-80183796 = -1 · 22 · 3 · 74 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -5 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-50,-456] |
[a1,a2,a3,a4,a6] |
Generators |
[60:432:1] |
Generators of the group modulo torsion |
j |
-5764801/33396 |
j-invariant |
L |
12.91780554211 |
L(r)(E,1)/r! |
Ω |
0.80438930518443 |
Real period |
R |
1.3382621924298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74382w1 |
Quadratic twists by: -7 |