Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
75900bc |
Isogeny class |
Conductor |
75900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-356450118750000 = -1 · 24 · 34 · 58 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2467,-906312] |
[a1,a2,a3,a4,a6] |
Generators |
[148:1650:1] |
Generators of the group modulo torsion |
j |
6639190016/1425800475 |
j-invariant |
L |
8.1959167568707 |
L(r)(E,1)/r! |
Ω |
0.25344889962222 |
Real period |
R |
1.3473979645172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002231 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180e1 |
Quadratic twists by: 5 |