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 |
Δ |
847000000000 = 29 · 59 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8875,318750] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:750:1] [114:888:1] |
Generators of the group modulo torsion |
j |
77308776/847 |
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 |
61600v2 123200dk2 61600u2 |
Quadratic twists by: -4 8 5 |