Atkin-Lehner |
2- 3- 5- 41- |
Signs for the Atkin-Lehner involutions |
Class |
49200eb |
Isogeny class |
Conductor |
49200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-504300000000 = -1 · 28 · 3 · 58 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -4 -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3333,80463] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:246:1] |
Generators of the group modulo torsion |
j |
-40960000/5043 |
j-invariant |
L |
7.3352656333355 |
L(r)(E,1)/r! |
Ω |
0.90252884144687 |
Real period |
R |
2.0318646054473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12300j1 49200cc1 |
Quadratic twists by: -4 5 |