Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
77616df |
Isogeny class |
Conductor |
77616 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1953270595584 = -1 · 227 · 33 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ -2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10563,423234] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3072:1] |
Generators of the group modulo torsion |
j |
-24052806603/360448 |
j-invariant |
L |
5.8020529777578 |
L(r)(E,1)/r! |
Ω |
0.8326638021247 |
Real period |
R |
0.87100774691846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9702j1 77616ds1 77616cs1 |
Quadratic twists by: -4 -3 -7 |