Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10032h |
Isogeny class |
Conductor |
10032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-115938459648 = -1 · 215 · 34 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,56,-16400] |
[a1,a2,a3,a4,a6] |
Generators |
[36:176:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
3.4169920807626 |
L(r)(E,1)/r! |
Ω |
0.48617780271145 |
Real period |
R |
0.87853457667796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1254e2 40128ca2 30096bl2 110352ba2 |
Quadratic twists by: -4 8 -3 -11 |