Atkin-Lehner |
2+ 3+ 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
73944c |
Isogeny class |
Conductor |
73944 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-332163694512 = -1 · 24 · 39 · 132 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,810,-26271] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-351:1] [2208:103761:1] |
Generators of the group modulo torsion |
j |
186624000/1054729 |
j-invariant |
L |
10.725889979453 |
L(r)(E,1)/r! |
Ω |
0.48249928230511 |
Real period |
R |
5.5574642143926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999346 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73944n1 |
Quadratic twists by: -3 |