Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
96600by |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-9537115603680000 = -1 · 28 · 33 · 54 · 73 · 235 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21308,4855812] |
[a1,a2,a3,a4,a6] |
Generators |
[388:7406:1] |
Generators of the group modulo torsion |
j |
-6687321077200/59606972523 |
j-invariant |
L |
5.5692027585469 |
L(r)(E,1)/r! |
Ω |
0.34991968712298 |
Real period |
R |
0.26526099992005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868379 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96600ba1 |
Quadratic twists by: 5 |