Atkin-Lehner |
2+ 3- 7+ 11+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
115038i |
Isogeny class |
Conductor |
115038 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1008894817750061088 = 25 · 38 · 78 · 112 · 832 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11523258306,476116998522484] |
[a1,a2,a3,a4,a6] |
Generators |
[108981842391369:-54876357933437:1758416743] |
Generators of the group modulo torsion |
j |
232125084754720259798043022895137/1383943508573472 |
j-invariant |
L |
4.5971959388801 |
L(r)(E,1)/r! |
Ω |
0.091979446026611 |
Real period |
R |
12.495171804112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036287 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38346k6 |
Quadratic twists by: -3 |