Atkin-Lehner |
2+ 3+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51546a |
Isogeny class |
Conductor |
51546 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-22098685760052 = -1 · 22 · 3 · 1110 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 11- 0 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7016,4228] |
[a1,a2,a3,a4,a6] |
Generators |
[384:7522:1] |
Generators of the group modulo torsion |
j |
1472207/852 |
j-invariant |
L |
4.6319249749694 |
L(r)(E,1)/r! |
Ω |
0.40548262707741 |
Real period |
R |
5.7116195191436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51546f1 |
Quadratic twists by: -11 |