Atkin-Lehner |
2- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
58100k |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-15069687500000000 = -1 · 28 · 513 · 7 · 832 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -1 -1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73533,9708937] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:4150:1] [387:6250:1] |
Generators of the group modulo torsion |
j |
-10993006403584/3767421875 |
j-invariant |
L |
8.4299831574272 |
L(r)(E,1)/r! |
Ω |
0.37152928514266 |
Real period |
R |
0.94541483611847 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999936 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11620a1 |
Quadratic twists by: 5 |