Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224cd |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-121814482944 = -1 · 215 · 3 · 72 · 113 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11- 2 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1024,10752] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-176:1] |
Generators of the group modulo torsion |
j |
28962726911/29739864 |
j-invariant |
L |
5.4768580468538 |
L(r)(E,1)/r! |
Ω |
0.69116263874435 |
Real period |
R |
0.33017180879389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000061 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8778p1 |
Quadratic twists by: -4 |