Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810x |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5670478558097362800 = 24 · 316 · 52 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5440277,-4884968259] |
[a1,a2,a3,a4,a6] |
Generators |
[13397:1518734:1] |
Generators of the group modulo torsion |
j |
378499465220294881/120530818800 |
j-invariant |
L |
3.4792707955389 |
L(r)(E,1)/r! |
Ω |
0.098855899147889 |
Real period |
R |
4.3994223215477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002632 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
210e4 |
Quadratic twists by: -19 |