Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
10234i |
Isogeny class |
Conductor |
10234 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-264917324 = -1 · 22 · 72 · 17 · 433 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 0 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14,784] |
[a1,a2,a3,a4,a6] |
Generators |
[0:28:1] |
Generators of the group modulo torsion |
j |
302111711/264917324 |
j-invariant |
L |
7.431362803758 |
L(r)(E,1)/r! |
Ω |
1.3621928637958 |
Real period |
R |
1.3638602508624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81872r1 92106u1 71638s1 |
Quadratic twists by: -4 -3 -7 |