Atkin-Lehner |
3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
27195f |
Isogeny class |
Conductor |
27195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6558402764213055 = -1 · 316 · 5 · 77 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-105841,-13858426] |
[a1,a2,a3,a4,a6] |
Generators |
[915090187726:511451051688864:2924207] |
Generators of the group modulo torsion |
j |
-1114544804970241/55745503695 |
j-invariant |
L |
2.1429887194563 |
L(r)(E,1)/r! |
Ω |
0.13195995156964 |
Real period |
R |
16.239690102685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81585be1 3885h1 |
Quadratic twists by: -3 -7 |