Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810bg |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
5644800 |
Modular degree for the optimal curve |
Δ |
5322441264210000000 = 27 · 35 · 57 · 75 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-26275754,51839588252] |
[a1,a2,a3,a4,a6] |
j |
15394828184807958075529/40841010000000 |
j-invariant |
L |
1.0478894916281 |
L(r)(E,1)/r! |
Ω |
0.20957789549141 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810cb1 |
Quadratic twists by: -19 |