Atkin-Lehner |
2+ 3+ 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890m |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
28326477496320 = 216 · 37 · 5 · 292 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8232,127296] |
[a1,a2,a3,a4,a6] |
Generators |
[1855:10716:125] |
Generators of the group modulo torsion |
j |
61705265795558281/28326477496320 |
j-invariant |
L |
3.5709245795115 |
L(r)(E,1)/r! |
Ω |
0.59523120697933 |
Real period |
R |
5.9992227182347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999965 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122670bo1 |
Quadratic twists by: -3 |