Atkin-Lehner |
2- 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192bh |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-295626356515811328 = -1 · 212 · 3 · 711 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 3 4 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3789,26160933] |
[a1,a2,a3,a4,a6] |
Generators |
[2987:163268:1] |
Generators of the group modulo torsion |
j |
-12487168/613472307 |
j-invariant |
L |
5.1885736031989 |
L(r)(E,1)/r! |
Ω |
0.24522460587874 |
Real period |
R |
2.644806772971 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108192cg1 15456s1 |
Quadratic twists by: -4 -7 |