Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600x |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-5282200000000 = -1 · 29 · 58 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- -3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-417208,-103584588] |
[a1,a2,a3,a4,a6] |
Generators |
[1954524:33214650:2197] |
Generators of the group modulo torsion |
j |
-40156202887880/26411 |
j-invariant |
L |
8.4369669644134 |
L(r)(E,1)/r! |
Ω |
0.093925020443398 |
Real period |
R |
7.4855515284792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600z1 123200gy1 61600bs1 |
Quadratic twists by: -4 8 5 |