Atkin-Lehner |
3+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
126243c |
Isogeny class |
Conductor |
126243 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
554112 |
Modular degree for the optimal curve |
Δ |
-151728361298163 = -1 · 33 · 138 · 832 |
Discriminant |
Eigenvalues |
2 3+ 0 3 -2 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-32955,2377703] |
[a1,a2,a3,a4,a6] |
Generators |
[8388:35593:64] |
Generators of the group modulo torsion |
j |
-179712000/6889 |
j-invariant |
L |
16.080473379624 |
L(r)(E,1)/r! |
Ω |
0.5737698307243 |
Real period |
R |
7.0065000272795 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126243g1 126243h1 |
Quadratic twists by: -3 13 |