Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600hq |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
1881600 |
Modular degree for the optimal curve |
Δ |
-1961185300200000000 = -1 · 29 · 35 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -7 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,185792,-59851912] |
[a1,a2,a3,a4,a6] |
Generators |
[2858:154350:1] |
Generators of the group modulo torsion |
j |
87880/243 |
j-invariant |
L |
7.8370840998633 |
L(r)(E,1)/r! |
Ω |
0.13494382245824 |
Real period |
R |
0.96794403949104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999782928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117600bm1 117600o1 117600fv1 |
Quadratic twists by: -4 5 -7 |