Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dp |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
27202560 |
Modular degree for the optimal curve |
Δ |
-1.2502177804922E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,37461439,145449079719] |
[a1,a2,a3,a4,a6] |
Generators |
[11179370:3351444093:125] |
Generators of the group modulo torsion |
j |
218902267299584/470715894135 |
j-invariant |
L |
9.482780866404 |
L(r)(E,1)/r! |
Ω |
0.049337471968036 |
Real period |
R |
8.3566264176935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999672112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116160fx1 14520l1 116160dt1 |
Quadratic twists by: -4 8 -11 |