Atkin-Lehner |
2+ 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810l |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2688841464321600 = 26 · 36 · 52 · 72 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130328,-17991168] |
[a1,a2,a3,a4,a6] |
Generators |
[-224:272:1] |
Generators of the group modulo torsion |
j |
5203798902289/57153600 |
j-invariant |
L |
3.156345117 |
L(r)(E,1)/r! |
Ω |
0.2514362504467 |
Real period |
R |
3.1383154896134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977543 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
210a2 |
Quadratic twists by: -19 |