Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
37240d |
Isogeny class |
Conductor |
37240 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
4.1675235234884E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-768528103,-8200450512198] |
[a1,a2,a3,a4,a6] |
Generators |
[1412141014758287935317:6354380400544677965464:44101841727625443] |
Generators of the group modulo torsion |
j |
1666766511378391624080336/138372521344225 |
j-invariant |
L |
5.1207943029626 |
L(r)(E,1)/r! |
Ω |
0.028673758197561 |
Real period |
R |
29.764696740481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
74480c2 5320e2 |
Quadratic twists by: -4 -7 |