Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575bk |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-733605585075 = -1 · 311 · 52 · 112 · 372 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 11- 3 8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-240645,-45437409] |
[a1,a2,a3,a4,a6] |
Generators |
[10958960762:367225167577:8242408] |
Generators of the group modulo torsion |
j |
-84564230789263360/40252707 |
j-invariant |
L |
13.017882083597 |
L(r)(E,1)/r! |
Ω |
0.1077768126946 |
Real period |
R |
15.098194308392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002749 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30525w1 91575cf1 |
Quadratic twists by: -3 5 |