Atkin-Lehner |
2+ 3- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336bd |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
66816 |
Modular degree for the optimal curve |
Δ |
-8728544448 = -1 · 26 · 39 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 3 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4303,107315] |
[a1,a2,a3,a4,a6] |
Generators |
[26:117:1] |
Generators of the group modulo torsion |
j |
-137707850944000/136383507 |
j-invariant |
L |
9.420275590571 |
L(r)(E,1)/r! |
Ω |
1.2969892929744 |
Real period |
R |
0.40351038096553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003903 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336k1 51168a1 |
Quadratic twists by: -4 8 |