Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600bv |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
2488320 |
Modular degree for the optimal curve |
Δ |
-3803676159147750000 = -1 · 24 · 312 · 56 · 315 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 4 2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,210525,-86153875] |
[a1,a2,a3,a4,a6] |
Generators |
[486892:19014129:343] |
Generators of the group modulo torsion |
j |
5661965297408/20870651079 |
j-invariant |
L |
9.4734038992673 |
L(r)(E,1)/r! |
Ω |
0.12629538724573 |
Real period |
R |
7.500989619252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013059 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55800bx1 37200i1 4464l1 |
Quadratic twists by: -4 -3 5 |