Atkin-Lehner |
2- 3+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ei |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-108667699200000000 = -1 · 221 · 33 · 58 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-142875,26146250] |
[a1,a2,a3,a4,a6] |
Generators |
[175:-2550:1] [-131:6528:1] |
Generators of the group modulo torsion |
j |
-7466356035/2515456 |
j-invariant |
L |
9.0673325221521 |
L(r)(E,1)/r! |
Ω |
0.31530111131707 |
Real period |
R |
0.39941240103037 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7650bt1 61200ea2 61200dd1 |
Quadratic twists by: -4 -3 5 |