Atkin-Lehner |
2+ 3- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73950bm |
Isogeny class |
Conductor |
73950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-2300140800 = -1 · 28 · 36 · 52 · 17 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 0 -2 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-311,3098] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:76:1] |
Generators of the group modulo torsion |
j |
-132451210705/92005632 |
j-invariant |
L |
6.8810881886656 |
L(r)(E,1)/r! |
Ω |
1.3428750929908 |
Real period |
R |
0.42701217611184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73950cm1 |
Quadratic twists by: 5 |