Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150cg |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
1548859375000000 = 26 · 512 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2145338,1209280292] |
[a1,a2,a3,a4,a6] |
Generators |
[842:-246:1] |
Generators of the group modulo torsion |
j |
241820454028845241/343000000 |
j-invariant |
L |
12.939074209971 |
L(r)(E,1)/r! |
Ω |
0.40449795873017 |
Real period |
R |
0.8885551108629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858506 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20230b1 101150bz1 |
Quadratic twists by: 5 17 |