Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
64220d |
Isogeny class |
Conductor |
64220 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
72576 |
Modular degree for the optimal curve |
Δ |
-476888729200 = -1 · 24 · 52 · 137 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 2 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1634,21945] |
[a1,a2,a3,a4,a6] |
Generators |
[82:845:1] |
Generators of the group modulo torsion |
j |
6243584/6175 |
j-invariant |
L |
3.2883137800593 |
L(r)(E,1)/r! |
Ω |
0.61483361267937 |
Real period |
R |
0.22284577701334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001291 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4940g1 |
Quadratic twists by: 13 |