Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bb |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-44482683190715000 = -1 · 23 · 54 · 73 · 1110 |
Discriminant |
Eigenvalues |
2+ 3 5+ 7- 11- -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,70460,7134056] |
[a1,a2,a3,a4,a6] |
Generators |
[144471:10508177:27] |
Generators of the group modulo torsion |
j |
4348377/5000 |
j-invariant |
L |
7.8949518862556 |
L(r)(E,1)/r! |
Ω |
0.2399164422665 |
Real period |
R |
8.2267724252213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998412 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290ci1 59290di1 |
Quadratic twists by: -7 -11 |