Atkin-Lehner |
2+ 3+ 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
119970c |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1311871950 = -1 · 2 · 39 · 52 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 3 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,255,-829] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-74:1] |
Generators of the group modulo torsion |
j |
92959677/66650 |
j-invariant |
L |
2.4783653869775 |
L(r)(E,1)/r! |
Ω |
0.85896283941416 |
Real period |
R |
0.72132496875642 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000055537 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119970bm1 |
Quadratic twists by: -3 |