Atkin-Lehner |
2- 3+ 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
124830bs |
Isogeny class |
Conductor |
124830 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
127872 |
Modular degree for the optimal curve |
Δ |
-518706099000 = -1 · 23 · 39 · 53 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 0 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,538,-34451] |
[a1,a2,a3,a4,a6] |
Generators |
[187:2471:1] |
Generators of the group modulo torsion |
j |
876467493/26353000 |
j-invariant |
L |
10.947917717211 |
L(r)(E,1)/r! |
Ω |
0.44757249945864 |
Real period |
R |
0.6794627181608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999481071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124830b1 |
Quadratic twists by: -3 |