Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650bx |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1008000 |
Modular degree for the optimal curve |
Δ |
-463631464742875000 = -1 · 23 · 56 · 1111 · 13 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-199713,47452417] |
[a1,a2,a3,a4,a6] |
Generators |
[2214:28175:8] |
Generators of the group modulo torsion |
j |
-31824875809/16749304 |
j-invariant |
L |
6.9937954649364 |
L(r)(E,1)/r! |
Ω |
0.27541789923292 |
Real period |
R |
2.1161162377662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3146h1 7150e1 |
Quadratic twists by: 5 -11 |