Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800v |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-843503155200 = -1 · 211 · 312 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -1 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2595,67390] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1458:1] |
Generators of the group modulo torsion |
j |
-51777170/22599 |
j-invariant |
L |
7.4887144161396 |
L(r)(E,1)/r! |
Ω |
0.83364852069392 |
Real period |
R |
2.2457649207842 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999832 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bc1 18600bb1 55800ci1 |
Quadratic twists by: -4 -3 5 |