Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810h |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1477440 |
Modular degree for the optimal curve |
Δ |
-2293212053364980580 = -1 · 22 · 39 · 5 · 73 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -3 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,55587,72706833] |
[a1,a2,a3,a4,a6] |
j |
1118413511/135025380 |
j-invariant |
L |
1.1946886252499 |
L(r)(E,1)/r! |
Ω |
0.1991147669844 |
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 |
75810df1 |
Quadratic twists by: -19 |