Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600by |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
40960 |
Modular degree for the optimal curve |
Δ |
-67375000000 = -1 · 26 · 59 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,12500] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:102:1] [-11:112:1] |
Generators of the group modulo torsion |
j |
-1728/539 |
j-invariant |
L |
10.07114075374 |
L(r)(E,1)/r! |
Ω |
0.89408837990056 |
Real period |
R |
5.6320722761564 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999967 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600v1 123200dk1 61600u1 |
Quadratic twists by: -4 8 5 |