Atkin-Lehner |
2+ 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
3782b |
Isogeny class |
Conductor |
3782 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3464814370624 = -1 · 26 · 316 · 61 |
Discriminant |
Eigenvalues |
2+ -2 3 -1 -3 -7 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2973,64478] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:248:1] |
Generators of the group modulo torsion |
j |
2907491221594583/3464814370624 |
j-invariant |
L |
2.0343323693198 |
L(r)(E,1)/r! |
Ω |
0.52920852354778 |
Real period |
R |
0.3203419633282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30256f2 121024k2 34038l2 94550r2 |
Quadratic twists by: -4 8 -3 5 |