Atkin-Lehner |
2- 3- 5+ 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71910x |
Isogeny class |
Conductor |
71910 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-16341623771341500 = -1 · 22 · 311 · 53 · 174 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-75803,-10098169] |
[a1,a2,a3,a4,a6] |
Generators |
[55823589:1308234172:79507] |
Generators of the group modulo torsion |
j |
-66076950810920041/22416493513500 |
j-invariant |
L |
9.7734254839222 |
L(r)(E,1)/r! |
Ω |
0.1414360249529 |
Real period |
R |
8.6376733638085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000587 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23970k1 |
Quadratic twists by: -3 |