Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
41876a |
Isogeny class |
Conductor |
41876 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-1.1447196955698E+23 |
Discriminant |
Eigenvalues |
2- -2 -1 -3 -3 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48121781,-129530526857] |
[a1,a2,a3,a4,a6] |
Generators |
[4970539:-510656882:343] |
Generators of the group modulo torsion |
j |
-1023262896933044224/9504681846259 |
j-invariant |
L |
1.6349349887734 |
L(r)(E,1)/r! |
Ω |
0.028644649104468 |
Real period |
R |
2.3781855714269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2204b1 |
Quadratic twists by: -19 |