Atkin-Lehner |
2- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
1550g |
Isogeny class |
Conductor |
1550 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-192200000000 = -1 · 29 · 58 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -1 0 -1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-763,22281] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1482:1] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
3.3738141406131 |
L(r)(E,1)/r! |
Ω |
0.87959855632944 |
Real period |
R |
0.071030175290083 |
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 |
12400bc1 49600be1 13950be1 1550b1 |
Quadratic twists by: -4 8 -3 5 |