Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64728f |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
102400 |
Modular degree for the optimal curve |
Δ |
54359092224 = 210 · 310 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -3 4 2 4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6339,193934] |
[a1,a2,a3,a4,a6] |
Generators |
[55:108:1] |
Generators of the group modulo torsion |
j |
37736227588/72819 |
j-invariant |
L |
6.1200045594086 |
L(r)(E,1)/r! |
Ω |
1.120501310046 |
Real period |
R |
1.3654612682164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999905 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456g1 21576j1 |
Quadratic twists by: -4 -3 |