Atkin-Lehner |
3+ 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
91575g |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
14009828881640625 = 39 · 58 · 113 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-476255,126495622] |
[a1,a2,a3,a4,a6] |
j |
38844557925363/45553475 |
j-invariant |
L |
0.7899912096437 |
L(r)(E,1)/r! |
Ω |
0.39499562473696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
91575l1 18315a1 |
Quadratic twists by: -3 5 |