Atkin-Lehner |
2+ 3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bj |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-1269998714880000 = -1 · 218 · 36 · 54 · 73 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-82938626,-290732571052] |
[a1,a2,a3,a4,a6] |
Generators |
[25101:3653881:1] |
Generators of the group modulo torsion |
j |
-100951830078347638795482025/2031997943808 |
j-invariant |
L |
5.6606914372589 |
L(r)(E,1)/r! |
Ω |
0.025013839019612 |
Real period |
R |
6.2861773712326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97650ew2 32550bs2 |
Quadratic twists by: -3 5 |