Atkin-Lehner |
2+ 3- 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
48312g |
Isogeny class |
Conductor |
48312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
-24100245633024 = -1 · 211 · 313 · 112 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 11+ -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-236194] |
[a1,a2,a3,a4,a6] |
Generators |
[230:3454:1] |
Generators of the group modulo torsion |
j |
-2/16142247 |
j-invariant |
L |
5.4390541760465 |
L(r)(E,1)/r! |
Ω |
0.30887679675698 |
Real period |
R |
4.4022845299134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96624o1 16104f1 |
Quadratic twists by: -4 -3 |