Atkin-Lehner |
2+ 5- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
23650j |
Isogeny class |
Conductor |
23650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
67392 |
Modular degree for the optimal curve |
Δ |
-9851235328000 = -1 · 213 · 53 · 112 · 433 |
Discriminant |
Eigenvalues |
2+ 0 5- -5 11+ -3 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5038,-63404] |
[a1,a2,a3,a4,a6] |
Generators |
[99:1133:1] |
Generators of the group modulo torsion |
j |
113120078568147/78809882624 |
j-invariant |
L |
2.2164568591477 |
L(r)(E,1)/r! |
Ω |
0.40997045603329 |
Real period |
R |
0.45053182624289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23650p1 |
Quadratic twists by: 5 |