Atkin-Lehner |
2- 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
74048v |
Isogeny class |
Conductor |
74048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
-61846719488393216 = -1 · 216 · 132 · 895 |
Discriminant |
Eigenvalues |
2- 1 1 0 -2 13- 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66625,-13696193] |
[a1,a2,a3,a4,a6] |
Generators |
[952400229:155040714764:35937] |
Generators of the group modulo torsion |
j |
-499070576480836/943706046881 |
j-invariant |
L |
8.5109191406611 |
L(r)(E,1)/r! |
Ω |
0.13990083960761 |
Real period |
R |
15.208842141191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74048e1 18512a1 |
Quadratic twists by: -4 8 |