Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
101136f |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
20239432298064 = 24 · 36 · 79 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- 0 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240459,-45304146] |
[a1,a2,a3,a4,a6] |
Generators |
[1560391378:1315027621818:2197] |
Generators of the group modulo torsion |
j |
816846411532288/10752021 |
j-invariant |
L |
4.0108615984137 |
L(r)(E,1)/r! |
Ω |
0.21559539881124 |
Real period |
R |
18.603651221109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851741 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50568i1 14448h1 |
Quadratic twists by: -4 -7 |