Atkin-Lehner |
2- 3+ 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
70224bo |
Isogeny class |
Conductor |
70224 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4238745934123008 = 212 · 312 · 7 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40752,476928] |
[a1,a2,a3,a4,a6] |
j |
1827347754908593/1034850081573 |
j-invariant |
L |
3.0146059466667 |
L(r)(E,1)/r! |
Ω |
0.37682574428136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389f4 |
Quadratic twists by: -4 |