Atkin-Lehner |
2+ 5+ 17- 79- |
Signs for the Atkin-Lehner involutions |
Class |
67150h |
Isogeny class |
Conductor |
67150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760704 |
Modular degree for the optimal curve |
Δ |
-1763471481084800 = -1 · 27 · 52 · 178 · 79 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-39007,-3578419] |
[a1,a2,a3,a4,a6] |
Generators |
[290475:4691611:729] |
Generators of the group modulo torsion |
j |
-262553382157018545/70538859243392 |
j-invariant |
L |
7.1427649146703 |
L(r)(E,1)/r! |
Ω |
0.16750907897411 |
Real period |
R |
5.3301326696931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000265 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67150t1 |
Quadratic twists by: 5 |