Atkin-Lehner |
3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
21105g |
Isogeny class |
Conductor |
21105 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-17665298130375 = -1 · 316 · 53 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3533,218652] |
[a1,a2,a3,a4,a6] |
j |
-6688239997321/24232233375 |
j-invariant |
L |
1.2095657034609 |
L(r)(E,1)/r! |
Ω |
0.60478285173044 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035d1 105525j1 |
Quadratic twists by: -3 5 |