Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720c |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-253621680 = -1 · 24 · 3 · 5 · 134 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,129,-564] |
[a1,a2,a3,a4,a6] |
Generators |
[452:1631:64] |
Generators of the group modulo torsion |
j |
14723188736/15851355 |
j-invariant |
L |
5.207637465872 |
L(r)(E,1)/r! |
Ω |
0.94698531538934 |
Real period |
R |
5.4991744658566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998883 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440v1 |
Quadratic twists by: -4 |