Atkin-Lehner |
2- 3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640cg |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
171999313920 = 214 · 34 · 5 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3583319040,82562457703680] |
[a1,a2,a3,a4,a6] |
Generators |
[6001439107471318:88008211642:173647719539] |
Generators of the group modulo torsion |
j |
1242282009445982549834550082561/41992020 |
j-invariant |
L |
5.5830706959446 |
L(r)(E,1)/r! |
Ω |
0.16068947730363 |
Real period |
R |
17.372234914284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4830bi5 115920dn6 |
Quadratic twists by: -4 -3 |