Atkin-Lehner |
2- 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
128100g |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
61513620000000 = 28 · 3 · 57 · 75 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 3 -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14533,-554063] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:175:1] |
Generators of the group modulo torsion |
j |
84871020544/15378405 |
j-invariant |
L |
6.0433356359632 |
L(r)(E,1)/r! |
Ω |
0.44024001445736 |
Real period |
R |
1.3727365362371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000182633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620f1 |
Quadratic twists by: 5 |