Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
67280b |
Isogeny class |
Conductor |
67280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
40019713036880 = 24 · 5 · 298 |
Discriminant |
Eigenvalues |
2+ 2 5+ -4 0 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9531,191966] |
[a1,a2,a3,a4,a6] |
Generators |
[-15328050:295003126:421875] |
Generators of the group modulo torsion |
j |
10061824/4205 |
j-invariant |
L |
7.8521199099437 |
L(r)(E,1)/r! |
Ω |
0.58411447697027 |
Real period |
R |
13.442775721724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33640a1 2320c1 |
Quadratic twists by: -4 29 |