Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
65268t |
Isogeny class |
Conductor |
65268 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-4145558290465536 = -1 · 28 · 312 · 77 · 37 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -3 1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34104,3933524] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1323:1] |
Generators of the group modulo torsion |
j |
-199794688/188811 |
j-invariant |
L |
3.7681494961429 |
L(r)(E,1)/r! |
Ω |
0.40018698052019 |
Real period |
R |
2.3539930579816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999637 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21756i1 9324i1 |
Quadratic twists by: -3 -7 |