Atkin-Lehner |
2+ 3+ 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
15438a |
Isogeny class |
Conductor |
15438 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-567677887044336 = -1 · 24 · 315 · 313 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 1 4 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-105092,-13206912] |
[a1,a2,a3,a4,a6] |
Generators |
[81772292:2018317108:103823] |
Generators of the group modulo torsion |
j |
-128362787808300258121/567677887044336 |
j-invariant |
L |
3.6820675201991 |
L(r)(E,1)/r! |
Ω |
0.13254449328554 |
Real period |
R |
13.889930199766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123504bn1 46314bc1 |
Quadratic twists by: -4 -3 |