Atkin-Lehner |
5- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
100555m |
Isogeny class |
Conductor |
100555 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
Δ |
-29557729514460875 = -1 · 53 · 73 · 134 · 176 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-199645,-35383851] |
[a1,a2,a3,a4,a6] |
Generators |
[1083:-31935:1] |
Generators of the group modulo torsion |
j |
-30812560703881216/1034898270875 |
j-invariant |
L |
7.5632267727483 |
L(r)(E,1)/r! |
Ω |
0.11270614777243 |
Real period |
R |
1.2426984482656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100555b2 |
Quadratic twists by: 13 |