Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080ce |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-19039589498880 = -1 · 219 · 311 · 5 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 -2 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,-209936] |
[a1,a2,a3,a4,a6] |
Generators |
[245:3807:1] |
Generators of the group modulo torsion |
j |
-1/99630 |
j-invariant |
L |
8.0039697350781 |
L(r)(E,1)/r! |
Ω |
0.31491931822182 |
Real period |
R |
3.1769921890272 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027189 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118080fn1 3690e1 39360bd1 |
Quadratic twists by: -4 8 -3 |