Atkin-Lehner |
3- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215x |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
Δ |
1.642860542193E+22 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-78812292,269231055957] |
[a1,a2,a3,a4,a6] |
Generators |
[1277:413122:1] |
Generators of the group modulo torsion |
j |
74263952047179070274535424/22535809906625245125 |
j-invariant |
L |
4.5211308227772 |
L(r)(E,1)/r! |
Ω |
0.121030904401 |
Real period |
R |
2.0752875956917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6405k2 96075u2 |
Quadratic twists by: -3 5 |