Atkin-Lehner |
2+ 5+ 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
81650f |
Isogeny class |
Conductor |
81650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
758592 |
Modular degree for the optimal curve |
Δ |
-34133619200 = -1 · 29 · 52 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 1 5+ -2 3 -6 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1488311,-698981222] |
[a1,a2,a3,a4,a6] |
Generators |
[1765475002:35596710072:1092727] |
Generators of the group modulo torsion |
j |
-14583587066927909002705/1365344768 |
j-invariant |
L |
4.0698398813832 |
L(r)(E,1)/r! |
Ω |
0.068343335550538 |
Real period |
R |
14.887478964111 |
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 |
81650t1 |
Quadratic twists by: 5 |