Atkin-Lehner |
2+ 5- 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650p |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-43996029767680000 = -1 · 215 · 54 · 176 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5- 5 5 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5654276,5174576898] |
[a1,a2,a3,a4,a6] |
j |
-31987079927602098433225/70393647628288 |
j-invariant |
L |
1.8637252876437 |
L(r)(E,1)/r! |
Ω |
0.31062088909674 |
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 |
75650x1 |
Quadratic twists by: 5 |