Atkin-Lehner |
2+ 3+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
75810x |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-43704343801036800 = -1 · 216 · 34 · 52 · 7 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,75803,-6021491] |
[a1,a2,a3,a4,a6] |
Generators |
[3323:190571:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
3.4792707955389 |
L(r)(E,1)/r! |
Ω |
0.19771179829578 |
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 |
210e1 |
Quadratic twists by: -19 |