Atkin-Lehner |
2+ 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
121024k |
Isogeny class |
Conductor |
121024 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-908280298372857856 = -1 · 224 · 316 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -3 -1 3 7 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,190303,32822561] |
[a1,a2,a3,a4,a6] |
j |
2907491221594583/3464814370624 |
j-invariant |
L |
2.2452424903562 |
L(r)(E,1)/r! |
Ω |
0.18710346783118 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121024s2 3782b2 |
Quadratic twists by: -4 8 |