Atkin-Lehner |
2+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
118976j |
Isogeny class |
Conductor |
118976 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-1275561364160512 = -1 · 225 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 2 0 2 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,21407,-1231647] |
[a1,a2,a3,a4,a6] |
Generators |
[61748511:830718208:658503] |
Generators of the group modulo torsion |
j |
144896375/170368 |
j-invariant |
L |
11.395795810452 |
L(r)(E,1)/r! |
Ω |
0.26010449080665 |
Real period |
R |
10.953093994328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000057779 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118976di1 3718j1 118976bi1 |
Quadratic twists by: -4 8 13 |