Atkin-Lehner |
2- 3- 5- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150db |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
234240 |
Modular degree for the optimal curve |
Δ |
-2252432812500 = -1 · 22 · 34 · 58 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -3 13- -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3263,101517] |
[a1,a2,a3,a4,a6] |
Generators |
[46:199:1] |
Generators of the group modulo torsion |
j |
-9836106385/5766228 |
j-invariant |
L |
14.63953838824 |
L(r)(E,1)/r! |
Ω |
0.76074811372453 |
Real period |
R |
1.202725491673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72150j1 |
Quadratic twists by: 5 |