Atkin-Lehner |
2+ 3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
23562r |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
10269814065136164 = 22 · 39 · 78 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11- 4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-100143,11205945] |
[a1,a2,a3,a4,a6] |
Generators |
[2196:100773:1] |
Generators of the group modulo torsion |
j |
152356299470130673/14087536440516 |
j-invariant |
L |
3.7965164775545 |
L(r)(E,1)/r! |
Ω |
0.39595416143508 |
Real period |
R |
0.19975568130341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854p1 |
Quadratic twists by: -3 |