Atkin-Lehner |
2- 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
102366x |
Isogeny class |
Conductor |
102366 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
-5984471239758 = -1 · 2 · 33 · 119 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 2 -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-16721,-836305] |
[a1,a2,a3,a4,a6] |
j |
-8120601/94 |
j-invariant |
L |
0.83910534340013 |
L(r)(E,1)/r! |
Ω |
0.20977637773762 |
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 |
102366b1 102366a1 |
Quadratic twists by: -3 -11 |