Atkin-Lehner |
2+ 3+ 5+ 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
76650j |
Isogeny class |
Conductor |
76650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-157745700 = -1 · 22 · 32 · 52 · 74 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 0 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-535,4585] |
[a1,a2,a3,a4,a6] |
Generators |
[16:-29:1] |
Generators of the group modulo torsion |
j |
-679380091105/6309828 |
j-invariant |
L |
4.2871710861318 |
L(r)(E,1)/r! |
Ω |
1.8302353534285 |
Real period |
R |
0.14640094916333 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76650dd1 |
Quadratic twists by: 5 |