Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200fb |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
591360 |
Modular degree for the optimal curve |
Δ |
-8781531084000000 = -1 · 28 · 317 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 3 -3 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364800,-84926500] |
[a1,a2,a3,a4,a6] |
Generators |
[1891436779150:119152291175334:465484375] |
Generators of the group modulo torsion |
j |
-1841198792704/3011499 |
j-invariant |
L |
7.733199526785 |
L(r)(E,1)/r! |
Ω |
0.097121029029685 |
Real period |
R |
19.906089350694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15300r1 20400ck1 2448r1 |
Quadratic twists by: -4 -3 5 |