Atkin-Lehner |
2+ 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83810a |
Isogeny class |
Conductor |
83810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
822528 |
Modular degree for the optimal curve |
Δ |
-53719981177812500 = -1 · 22 · 57 · 172 · 296 |
Discriminant |
Eigenvalues |
2+ -1 5+ -1 2 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-393938,-95983208] |
[a1,a2,a3,a4,a6] |
Generators |
[5976877:169112540:4913] |
Generators of the group modulo torsion |
j |
-23394362710922175241/185882287812500 |
j-invariant |
L |
3.0401837989701 |
L(r)(E,1)/r! |
Ω |
0.095237160018899 |
Real period |
R |
7.9805608432534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83810s1 |
Quadratic twists by: 17 |