Atkin-Lehner |
2- 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
44400bq |
Isogeny class |
Conductor |
44400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22400 |
Modular degree for the optimal curve |
Δ |
-41430528000 = -1 · 212 · 37 · 53 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-453,-10323] |
[a1,a2,a3,a4,a6] |
Generators |
[804:1115:27] |
Generators of the group modulo torsion |
j |
-20123648/80919 |
j-invariant |
L |
4.9195260534388 |
L(r)(E,1)/r! |
Ω |
0.47195191874332 |
Real period |
R |
5.2118932650374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2775i1 44400dg1 |
Quadratic twists by: -4 5 |