Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
21252l |
Isogeny class |
Conductor |
21252 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
252000 |
Modular degree for the optimal curve |
Δ |
-30310222521713904 = -1 · 24 · 33 · 77 · 115 · 232 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 1 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239734,-46029547] |
[a1,a2,a3,a4,a6] |
j |
-95234528549165677312/1894388907607119 |
j-invariant |
L |
4.5255812003093 |
L(r)(E,1)/r! |
Ω |
0.1077519333407 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85008bo1 63756bj1 |
Quadratic twists by: -4 -3 |