Atkin-Lehner |
2- 3+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998o |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
deg |
6690816 |
Modular degree for the optimal curve |
Δ |
-1.2925812820237E+23 |
Discriminant |
Eigenvalues |
2- 3+ -1 -4 11- -5 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,11498204,-8597497435] |
[a1,a2,a3,a4,a6] |
Generators |
[46877:-10199055:1] [1139:76749:1] |
Generators of the group modulo torsion |
j |
784282017339554591/602998707585024 |
j-invariant |
L |
10.458778214027 |
L(r)(E,1)/r! |
Ω |
0.058085086598011 |
Real period |
R |
0.41680465972706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52998a1 |
Quadratic twists by: -11 |