Atkin-Lehner |
2+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
99400j |
Isogeny class |
Conductor |
99400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-340942000 = -1 · 24 · 53 · 74 · 71 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37,872] |
[a1,a2,a3,a4,a6] |
Generators |
[26:255:8] |
Generators of the group modulo torsion |
j |
2725888/170471 |
j-invariant |
L |
8.6957326681565 |
L(r)(E,1)/r! |
Ω |
1.3016134315275 |
Real period |
R |
3.340366825996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016405 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99400u1 |
Quadratic twists by: 5 |