Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
124722bf |
Isogeny class |
Conductor |
124722 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
492480 |
Modular degree for the optimal curve |
Δ |
-124647978989664 = -1 · 25 · 39 · 136 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 -4 13+ 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,11122,288253] |
[a1,a2,a3,a4,a6] |
Generators |
[91:1385:1] |
Generators of the group modulo torsion |
j |
1601613/1312 |
j-invariant |
L |
11.235443996186 |
L(r)(E,1)/r! |
Ω |
0.37945013853724 |
Real period |
R |
2.9609803297487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029277 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124722d1 738a1 |
Quadratic twists by: -3 13 |