Atkin-Lehner |
2+ 3+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336k |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
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] |
j |
-137707850944000/136383507 |
j-invariant |
L |
0.5894170152581 |
L(r)(E,1)/r! |
Ω |
0.29470840448317 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336bd1 51168n1 |
Quadratic twists by: -4 8 |