Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950c |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-71972387524800 = -1 · 26 · 33 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9040,242880] |
[a1,a2,a3,a4,a6] |
j |
566799695/499392 |
j-invariant |
L |
1.6013091410463 |
L(r)(E,1)/r! |
Ω |
0.40032687236118 |
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 |
124950ip1 124950cn1 |
Quadratic twists by: 5 -7 |