Atkin-Lehner |
2+ 17- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
118864d |
Isogeny class |
Conductor |
118864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-2057878668499712 = -1 · 28 · 17 · 197 · 232 |
Discriminant |
Eigenvalues |
2+ -3 4 -2 -4 -4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1948,-2182820] |
[a1,a2,a3,a4,a6] |
Generators |
[236310:7803325:216] |
Generators of the group modulo torsion |
j |
-3193380025344/8038588548827 |
j-invariant |
L |
3.8293483925124 |
L(r)(E,1)/r! |
Ω |
0.21070983144078 |
Real period |
R |
9.0867815914858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998891457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59432c1 |
Quadratic twists by: -4 |