Atkin-Lehner |
2+ 3+ 5- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
105450q |
Isogeny class |
Conductor |
105450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-159064944279552000 = -1 · 226 · 36 · 53 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-503730,-139149900] |
[a1,a2,a3,a4,a6] |
Generators |
[16020675:1746601740:1331] |
Generators of the group modulo torsion |
j |
-113085909514667712797/1272519554236416 |
j-invariant |
L |
4.2165251486259 |
L(r)(E,1)/r! |
Ω |
0.089542422675681 |
Real period |
R |
11.772423154941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999724869 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
105450cm1 |
Quadratic twists by: 5 |