Atkin-Lehner |
2- 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850l |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
816 |
Product of Tamagawa factors cp |
deg |
426539520 |
Modular degree for the optimal curve |
Δ |
-2.0709780888946E+33 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 2 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113029626730,-14789313457110103] |
[a1,a2,a3,a4,a6] |
Generators |
[2024759:2837499745:1] |
Generators of the group modulo torsion |
j |
-10220698241677809252897665463685161/132542597689256859264247398400 |
j-invariant |
L |
6.9799011049104 |
L(r)(E,1)/r! |
Ω |
0.0041137349692842 |
Real period |
R |
8.3173081741511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002437 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570c1 |
Quadratic twists by: 5 |