Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
113568ca |
Isogeny class |
Conductor |
113568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-119516130488821248 = -1 · 29 · 312 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,122976,-1107432] |
[a1,a2,a3,a4,a6] |
Generators |
[142522727211:5142171962070:1556862679] |
Generators of the group modulo torsion |
j |
83224499896/48361131 |
j-invariant |
L |
5.5864344539153 |
L(r)(E,1)/r! |
Ω |
0.19628462230925 |
Real period |
R |
14.230443471344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017513 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113568cp2 8736d4 |
Quadratic twists by: -4 13 |