Atkin-Lehner |
2- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
77372c |
Isogeny class |
Conductor |
77372 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
142968 |
Modular degree for the optimal curve |
Δ |
-218894982128 = -1 · 24 · 23 · 296 |
Discriminant |
Eigenvalues |
2- 3 -2 -4 -2 -5 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-841,24389] |
[a1,a2,a3,a4,a6] |
Generators |
[10620:89963:729] |
Generators of the group modulo torsion |
j |
-6912/23 |
j-invariant |
L |
7.1281180639836 |
L(r)(E,1)/r! |
Ω |
0.8740842536507 |
Real period |
R |
8.1549553530104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92b1 |
Quadratic twists by: 29 |