Atkin-Lehner |
3+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120213c |
Isogeny class |
Conductor |
120213 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1738956899403 = 33 · 196 · 372 |
Discriminant |
Eigenvalues |
1 3+ 2 -4 -4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4941,118910] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:460:1] |
Generators of the group modulo torsion |
j |
10503459/1369 |
j-invariant |
L |
6.7023444556189 |
L(r)(E,1)/r! |
Ω |
0.8079629725271 |
Real period |
R |
4.1476804519668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002226 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120213d2 333c2 |
Quadratic twists by: -3 -19 |