Atkin-Lehner |
3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
77763m |
Isogeny class |
Conductor |
77763 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1483776 |
Modular degree for the optimal curve |
Δ |
-4063025216330046729 = -1 · 32 · 78 · 238 |
Discriminant |
Eigenvalues |
-1 3+ 3 7- -2 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-881854,332804324] |
[a1,a2,a3,a4,a6] |
Generators |
[62:16653:1] |
Generators of the group modulo torsion |
j |
-8231953/441 |
j-invariant |
L |
4.1906622167563 |
L(r)(E,1)/r! |
Ω |
0.24404564682807 |
Real period |
R |
4.2929081789992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109j1 77763o1 |
Quadratic twists by: -7 -23 |