Atkin-Lehner |
2+ 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600bl |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
476288000 = 210 · 53 · 612 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -4 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-413,-3197] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:12:1] |
Generators of the group modulo torsion |
j |
61011968/3721 |
j-invariant |
L |
3.9269667498196 |
L(r)(E,1)/r! |
Ω |
1.0628667735234 |
Real period |
R |
1.8473466568751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701433 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600cq1 12200e1 97600bh1 |
Quadratic twists by: -4 8 5 |