Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600gt |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-337401262080000 = -1 · 215 · 312 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 5 -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,12525,-699950] |
[a1,a2,a3,a4,a6] |
Generators |
[658:7533:8] |
Generators of the group modulo torsion |
j |
116436575/180792 |
j-invariant |
L |
8.5772297317752 |
L(r)(E,1)/r! |
Ω |
0.28562927741062 |
Real period |
R |
3.753654820718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022211 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13950bl1 37200dz1 111600fk1 |
Quadratic twists by: -4 -3 5 |