Atkin-Lehner |
2+ 3- 5+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
71910f |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95539805775000000 = 26 · 314 · 58 · 17 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2464020,-1488034800] |
[a1,a2,a3,a4,a6] |
Generators |
[-32494935:7057780:35937] |
Generators of the group modulo torsion |
j |
2269493633308673229121/131055975000000 |
j-invariant |
L |
4.2904389895305 |
L(r)(E,1)/r! |
Ω |
0.12050081772573 |
Real period |
R |
8.9012652983866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970x4 |
Quadratic twists by: -3 |