Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
1330i |
Isogeny class |
Conductor |
1330 |
Conductor |
∏ cp |
35 |
Product of Tamagawa factors cp |
deg |
560 |
Modular degree for the optimal curve |
Δ |
-332500000 = -1 · 25 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 1 -3 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-70,900] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:30:1] |
Generators of the group modulo torsion |
j |
-37966934881/332500000 |
j-invariant |
L |
2.9244299215864 |
L(r)(E,1)/r! |
Ω |
1.4642378846475 |
Real period |
R |
0.057063911194231 |
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 |
10640be1 42560j1 11970p1 6650f1 |
Quadratic twists by: -4 8 -3 5 |