Atkin-Lehner |
2+ 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
95370bk |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1392640 |
Modular degree for the optimal curve |
Δ |
100183038064665600 = 210 · 3 · 52 · 11 · 179 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136848,12144478] |
[a1,a2,a3,a4,a6] |
Generators |
[4178518:83290445:6859] |
Generators of the group modulo torsion |
j |
2389979753/844800 |
j-invariant |
L |
7.6853565943626 |
L(r)(E,1)/r! |
Ω |
0.30862190846751 |
Real period |
R |
12.451087194393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95370j1 |
Quadratic twists by: 17 |