Atkin-Lehner |
2+ 3- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
100368bb |
Isogeny class |
Conductor |
100368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
209614286702592 = 211 · 36 · 174 · 412 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 -2 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35931,2527274] |
[a1,a2,a3,a4,a6] |
Generators |
[-65:2142:1] [71:578:1] |
Generators of the group modulo torsion |
j |
3436166063666/140398801 |
j-invariant |
L |
8.7495209950237 |
L(r)(E,1)/r! |
Ω |
0.55738394870738 |
Real period |
R |
1.9621844633307 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50184bc2 11152b2 |
Quadratic twists by: -4 -3 |