Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600y |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-123200000000 = -1 · 212 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11+ -6 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-833,-19537] |
[a1,a2,a3,a4,a6] |
Generators |
[83:700:1] |
Generators of the group modulo torsion |
j |
-40000/77 |
j-invariant |
L |
6.4011515887442 |
L(r)(E,1)/r! |
Ω |
0.41806006120973 |
Real period |
R |
1.2759633090663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61600w1 123200hr1 61600bc1 |
Quadratic twists by: -4 8 5 |