Atkin-Lehner |
2+ 11- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
84656f |
Isogeny class |
Conductor |
84656 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
111360 |
Modular degree for the optimal curve |
Δ |
-13405874932736 = -1 · 210 · 115 · 133 · 37 |
Discriminant |
Eigenvalues |
2+ 1 1 0 11- 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9680,-409948] |
[a1,a2,a3,a4,a6] |
Generators |
[242:3388:1] |
Generators of the group modulo torsion |
j |
-97970357263684/13091674739 |
j-invariant |
L |
8.5411072462996 |
L(r)(E,1)/r! |
Ω |
0.23887838842104 |
Real period |
R |
1.7877521910065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000073 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42328b1 |
Quadratic twists by: -4 |