Atkin-Lehner |
2+ 3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
38850bl |
Isogeny class |
Conductor |
38850 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-43080376500000 = -1 · 25 · 35 · 56 · 7 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10126,-504352] |
[a1,a2,a3,a4,a6] |
Generators |
[328:5447:1] |
Generators of the group modulo torsion |
j |
-7347774183121/2757144096 |
j-invariant |
L |
5.4262482319402 |
L(r)(E,1)/r! |
Ω |
0.23359951919471 |
Real period |
R |
4.6457700346704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116550ev1 1554h1 |
Quadratic twists by: -3 5 |