Atkin-Lehner |
2- 31- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
105152s |
Isogeny class |
Conductor |
105152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2279424 |
Modular degree for the optimal curve |
Δ |
-740609638143967232 = -1 · 214 · 318 · 53 |
Discriminant |
Eigenvalues |
2- 3 2 2 -6 -1 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,99716,-39591472] |
[a1,a2,a3,a4,a6] |
Generators |
[22512780:31935952:91125] |
Generators of the group modulo torsion |
j |
6692653173782448/45203224984373 |
j-invariant |
L |
15.349818050902 |
L(r)(E,1)/r! |
Ω |
0.14197458009082 |
Real period |
R |
6.7572915272458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105152d1 26288k1 |
Quadratic twists by: -4 8 |