Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960c |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-124775168000000 = -1 · 214 · 56 · 75 · 29 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74261,-7832461] |
[a1,a2,a3,a4,a6] |
Generators |
[75987394652818:4218684367817875:24464768327] |
Generators of the group modulo torsion |
j |
-2764343452696576/7615671875 |
j-invariant |
L |
6.2526273069728 |
L(r)(E,1)/r! |
Ω |
0.14457966371062 |
Real period |
R |
21.623467459046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64960bh1 4060f1 |
Quadratic twists by: -4 8 |