Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
58812m |
Isogeny class |
Conductor |
58812 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
95472 |
Modular degree for the optimal curve |
Δ |
-10219474472688 = -1 · 24 · 33 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3662,-126775] |
[a1,a2,a3,a4,a6] |
Generators |
[15370:185307:125] |
Generators of the group modulo torsion |
j |
416000/783 |
j-invariant |
L |
8.0754047226431 |
L(r)(E,1)/r! |
Ω |
0.37839682480316 |
Real period |
R |
7.113700215706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999616 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
58812l1 |
Quadratic twists by: 13 |