Atkin-Lehner |
3+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
84525bb |
Isogeny class |
Conductor |
84525 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2246400 |
Modular degree for the optimal curve |
Δ |
4.5500501802878E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 5 -1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1017388,-225559594] |
[a1,a2,a3,a4,a6] |
Generators |
[-587450818:11950601274:912673] |
Generators of the group modulo torsion |
j |
2534167381585/990074583 |
j-invariant |
L |
3.6414080534281 |
L(r)(E,1)/r! |
Ω |
0.15541953932413 |
Real period |
R |
11.714769164229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84525cl1 1725s1 |
Quadratic twists by: 5 -7 |