Atkin-Lehner |
2- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
61936m |
Isogeny class |
Conductor |
61936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
52231126269952 = 214 · 79 · 79 |
Discriminant |
Eigenvalues |
2- 0 -4 7- 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443107,113529570] |
[a1,a2,a3,a4,a6] |
Generators |
[322:2058:1] |
Generators of the group modulo torsion |
j |
19966473067689/108388 |
j-invariant |
L |
3.784165408175 |
L(r)(E,1)/r! |
Ω |
0.56049010780839 |
Real period |
R |
1.6878823351748 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000357 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742f1 8848e1 |
Quadratic twists by: -4 -7 |