Atkin-Lehner |
2- 3+ 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010bi |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
966902400000 = 210 · 33 · 55 · 192 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5447,148671] |
[a1,a2,a3,a4,a6] |
Generators |
[11:294:1] |
Generators of the group modulo torsion |
j |
661846572125523/35811200000 |
j-invariant |
L |
9.5983440746683 |
L(r)(E,1)/r! |
Ω |
0.86818247721658 |
Real period |
R |
0.2211135176422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53010b1 |
Quadratic twists by: -3 |