Atkin-Lehner |
2+ 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bf |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
118837337220000000 = 28 · 37 · 57 · 73 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1941626,1041055148] |
[a1,a2,a3,a4,a6] |
Generators |
[1242:-23984:1] [-1428:30751:1] |
Generators of the group modulo torsion |
j |
51808390599590850961/7605589582080 |
j-invariant |
L |
10.129075741951 |
L(r)(E,1)/r! |
Ω |
0.32027513426342 |
Real period |
R |
0.37650202007238 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999995107 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18690k1 |
Quadratic twists by: 5 |