Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120888l |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
64861731072 = 28 · 38 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 0 2 2 -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695,-23902] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:54:1] [-19:38:1] |
Generators of the group modulo torsion |
j |
2885794000/347553 |
j-invariant |
L |
12.753080531144 |
L(r)(E,1)/r! |
Ω |
0.74992263676141 |
Real period |
R |
2.1257326934873 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990159 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296a1 |
Quadratic twists by: -3 |