Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950gu |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-9558675000000 = -1 · 26 · 33 · 58 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4612,-85219] |
[a1,a2,a3,a4,a6] |
Generators |
[29:257:1] |
Generators of the group modulo torsion |
j |
566799695/499392 |
j-invariant |
L |
9.4041488046526 |
L(r)(E,1)/r! |
Ω |
0.40013518964918 |
Real period |
R |
1.9585357196207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069534 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cn1 124950ip1 |
Quadratic twists by: 5 -7 |