Atkin-Lehner |
3- 13- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51129l |
Isogeny class |
Conductor |
51129 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-325880396572419 = -1 · 312 · 132 · 193 · 232 |
Discriminant |
Eigenvalues |
2 3- 3 -5 3 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,9429,-793827] |
[a1,a2,a3,a4,a6] |
Generators |
[514:2219:8] |
Generators of the group modulo torsion |
j |
127172465487872/447023863611 |
j-invariant |
L |
13.422755962269 |
L(r)(E,1)/r! |
Ω |
0.27610019810168 |
Real period |
R |
2.0256468567257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17043e1 |
Quadratic twists by: -3 |