Atkin-Lehner |
2- 3- 29+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
25404d |
Isogeny class |
Conductor |
25404 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
42624 |
Modular degree for the optimal curve |
Δ |
-356877017856 = -1 · 28 · 33 · 294 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -4 6 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-717,29439] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2523:1] |
Generators of the group modulo torsion |
j |
-159458172928/1394050851 |
j-invariant |
L |
5.9754336061289 |
L(r)(E,1)/r! |
Ω |
0.81859349427541 |
Real period |
R |
1.2166058098263 |
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 |
101616g1 76212i1 |
Quadratic twists by: -4 -3 |