Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650i |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
131328 |
Modular degree for the optimal curve |
Δ |
-3984985395200 = -1 · 212 · 52 · 173 · 892 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 -4 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1455,-93035] |
[a1,a2,a3,a4,a6] |
Generators |
[66:-577:1] |
Generators of the group modulo torsion |
j |
13611507236735/159399415808 |
j-invariant |
L |
2.9390389119051 |
L(r)(E,1)/r! |
Ω |
0.38475137072346 |
Real period |
R |
0.63656669762105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650bf1 |
Quadratic twists by: 5 |