Atkin-Lehner |
2+ 3+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
53802j |
Isogeny class |
Conductor |
53802 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-10851002568 = -1 · 23 · 33 · 77 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 5 1 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1038,14076] |
[a1,a2,a3,a4,a6] |
Generators |
[9:69:1] |
Generators of the group modulo torsion |
j |
-38958219/3416 |
j-invariant |
L |
3.9770400102454 |
L(r)(E,1)/r! |
Ω |
1.2525048270464 |
Real period |
R |
0.79381730202204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802bo1 7686c1 |
Quadratic twists by: -3 -7 |