Atkin-Lehner |
2- 7- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
111034i |
Isogeny class |
Conductor |
111034 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-56327824452592 = -1 · 24 · 710 · 112 · 103 |
Discriminant |
Eigenvalues |
2- 0 2 7- 11- 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9521,47751] |
[a1,a2,a3,a4,a6] |
Generators |
[17145:2236362:1] |
Generators of the group modulo torsion |
j |
811383048783/478778608 |
j-invariant |
L |
12.648911581803 |
L(r)(E,1)/r! |
Ω |
0.38177681645207 |
Real period |
R |
4.1414613859557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027424 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15862d1 |
Quadratic twists by: -7 |