Atkin-Lehner |
2+ 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
92736ca |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-14329999982592 = -1 · 216 · 310 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 -4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4596,137072] |
[a1,a2,a3,a4,a6] |
Generators |
[374:7360:1] |
Generators of the group modulo torsion |
j |
224727548/299943 |
j-invariant |
L |
8.1462261831597 |
L(r)(E,1)/r! |
Ω |
0.47403762231456 |
Real period |
R |
4.2961917951013 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736eo1 11592r1 30912q1 |
Quadratic twists by: -4 8 -3 |