Atkin-Lehner |
2+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
74048l |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
12514112 = 26 · 133 · 89 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 -2 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-386,2914] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-13:1] |
Generators of the group modulo torsion |
j |
99381523968/195533 |
j-invariant |
L |
2.5168448671721 |
L(r)(E,1)/r! |
Ω |
2.2523180311604 |
Real period |
R |
0.37248216153677 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004082 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048k1 37024c1 |
Quadratic twists by: -4 8 |