Atkin-Lehner |
2- 3- 41- 53- |
Signs for the Atkin-Lehner involutions |
Class |
78228h |
Isogeny class |
Conductor |
78228 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-108390709156608 = -1 · 28 · 37 · 413 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -5 6 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5520,525188] |
[a1,a2,a3,a4,a6] |
Generators |
[76:738:1] |
Generators of the group modulo torsion |
j |
-99672064000/580797267 |
j-invariant |
L |
7.6450918876306 |
L(r)(E,1)/r! |
Ω |
0.51337474130325 |
Real period |
R |
0.41366208040744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26076a1 |
Quadratic twists by: -3 |