Atkin-Lehner |
37- 41- |
Signs for the Atkin-Lehner involutions |
Class |
56129c |
Isogeny class |
Conductor |
56129 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3004992 |
Modular degree for the optimal curve |
Δ |
-8957093068416501917 = -1 · 379 · 413 |
Discriminant |
Eigenvalues |
1 1 4 0 -3 3 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-24833689,-47635509011] |
[a1,a2,a3,a4,a6] |
Generators |
[1545230213284946250078330941660986238000:415001326184365198326014511622494073799689:21240750154778117168970232000000000] |
Generators of the group modulo torsion |
j |
-13032624560437/68921 |
j-invariant |
L |
11.369057965395 |
L(r)(E,1)/r! |
Ω |
0.033814978357734 |
Real period |
R |
56.035611621175 |
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 |
56129d1 |
Quadratic twists by: 37 |