Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
46904h |
Isogeny class |
Conductor |
46904 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
121728 |
Modular degree for the optimal curve |
Δ |
-5415348224 = -1 · 211 · 112 · 13 · 412 |
Discriminant |
Eigenvalues |
2+ -1 3 -3 11- 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-52904,4701292] |
[a1,a2,a3,a4,a6] |
Generators |
[129:82:1] |
Generators of the group modulo torsion |
j |
-7995902650746194/2644213 |
j-invariant |
L |
5.1767817330784 |
L(r)(E,1)/r! |
Ω |
1.0936970926097 |
Real period |
R |
1.1833216363274 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93808h1 |
Quadratic twists by: -4 |