Atkin-Lehner |
2- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45494j |
Isogeny class |
Conductor |
45494 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-585629976884 = -1 · 22 · 237 · 43 |
Discriminant |
Eigenvalues |
2- 1 2 0 3 -1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2127,-52915] |
[a1,a2,a3,a4,a6] |
Generators |
[150358:696071:2197] |
Generators of the group modulo torsion |
j |
-7189057/3956 |
j-invariant |
L |
12.832648916945 |
L(r)(E,1)/r! |
Ω |
0.34272298797806 |
Real period |
R |
9.3608025775091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1978d1 |
Quadratic twists by: -23 |