Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550j |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
8690825000000 = 26 · 58 · 112 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 11+ 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27650,1752500] |
[a1,a2,a3,a4,a6] |
Generators |
[91:-29:1] |
Generators of the group modulo torsion |
j |
149628263143969/556212800 |
j-invariant |
L |
8.0180863011579 |
L(r)(E,1)/r! |
Ω |
0.73670221594404 |
Real period |
R |
2.7209387076477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995886 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24310r1 |
Quadratic twists by: 5 |