Atkin-Lehner |
2- 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
21390s |
Isogeny class |
Conductor |
21390 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
16538014384496250 = 2 · 3 · 54 · 236 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-946975,-354720625] |
[a1,a2,a3,a4,a6] |
Generators |
[285450:5581175:216] |
Generators of the group modulo torsion |
j |
93915934081031257484401/16538014384496250 |
j-invariant |
L |
8.7372817117294 |
L(r)(E,1)/r! |
Ω |
0.15304512941021 |
Real period |
R |
9.5149295128395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64170m4 106950n4 |
Quadratic twists by: -3 5 |