Atkin-Lehner |
3- 7- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
120099t |
Isogeny class |
Conductor |
120099 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-805429310784000483 = -1 · 3 · 76 · 192 · 436 |
Discriminant |
Eigenvalues |
1 3- 0 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1541321,-737918149] |
[a1,a2,a3,a4,a6] |
Generators |
[2231853187:60158716563:1225043] |
Generators of the group modulo torsion |
j |
-3442027642056789625/6846036182067 |
j-invariant |
L |
9.8398436280136 |
L(r)(E,1)/r! |
Ω |
0.067739900826349 |
Real period |
R |
12.104933079789 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003252 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2451b2 |
Quadratic twists by: -7 |