Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
61950cm |
Isogeny class |
Conductor |
61950 |
Conductor |
∏ cp |
2160 |
Product of Tamagawa factors cp |
deg |
18662400 |
Modular degree for the optimal curve |
Δ |
9.212457616488E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-861647388,9735073285392] |
[a1,a2,a3,a4,a6] |
Generators |
[16716:-60396:1] |
Generators of the group modulo torsion |
j |
36222831915586793232720173/4716778299641856 |
j-invariant |
L |
12.174714770247 |
L(r)(E,1)/r! |
Ω |
0.1009472422846 |
Real period |
R |
0.22334209020787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61950i1 |
Quadratic twists by: 5 |