Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
61600bi |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-102487000000 = -1 · 26 · 56 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 11- 0 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1958,-36088] |
[a1,a2,a3,a4,a6] |
Generators |
[4903:343266:1] |
Generators of the group modulo torsion |
j |
-830584000/102487 |
j-invariant |
L |
9.5571317951212 |
L(r)(E,1)/r! |
Ω |
0.35637548890264 |
Real period |
R |
6.7043975333312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600bm1 123200eg1 2464i1 |
Quadratic twists by: -4 8 5 |