Atkin-Lehner |
3+ 5- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90945b |
Isogeny class |
Conductor |
90945 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
245088 |
Modular degree for the optimal curve |
Δ |
-235426763671875 = -1 · 33 · 59 · 43 · 473 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 0 5 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18522,-1219155] |
[a1,a2,a3,a4,a6] |
j |
-26026968566366208/8719509765625 |
j-invariant |
L |
1.2072262478311 |
L(r)(E,1)/r! |
Ω |
0.20120440226491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
90945a2 |
Quadratic twists by: -3 |