Atkin-Lehner |
2+ 3- 5+ 7+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
42210f |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3350629800 = 23 · 36 · 52 · 73 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-220617600,-1261215664264] |
[a1,a2,a3,a4,a6] |
Generators |
[-45541682677872337:22770832164841361:5310828573623] |
Generators of the group modulo torsion |
j |
1628983375885758062517401601/4596200 |
j-invariant |
L |
2.8435937269792 |
L(r)(E,1)/r! |
Ω |
0.039173242013006 |
Real period |
R |
18.147551624864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4690d4 |
Quadratic twists by: -3 |