Atkin-Lehner |
2+ 3+ 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810q |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
820800 |
Modular degree for the optimal curve |
Δ |
115556162930964000 = 25 · 35 · 53 · 7 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-122747,2498109] |
[a1,a2,a3,a4,a6] |
j |
12042955801/6804000 |
j-invariant |
L |
0.85912794260096 |
L(r)(E,1)/r! |
Ω |
0.28637598965883 |
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 |
75810dm1 |
Quadratic twists by: -19 |