Atkin-Lehner |
2+ 3+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89304f |
Isogeny class |
Conductor |
89304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
892800 |
Modular degree for the optimal curve |
Δ |
-19309011984513024 = -1 · 211 · 3 · 617 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 6 4 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,58296,3898092] |
[a1,a2,a3,a4,a6] |
Generators |
[3911479:212737012:1331] |
Generators of the group modulo torsion |
j |
207646/183 |
j-invariant |
L |
7.7231372384965 |
L(r)(E,1)/r! |
Ω |
0.25121389849815 |
Real period |
R |
7.6858180311644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999994137 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1464d1 |
Quadratic twists by: 61 |