Atkin-Lehner |
2+ 5- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
75650m |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-53862800000000 = -1 · 210 · 58 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 0 -5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2633701,-1645339952] |
[a1,a2,a3,a4,a6] |
Generators |
[163971103733653:63339686290428314:1095912791] |
Generators of the group modulo torsion |
j |
-5172051567514624105/137888768 |
j-invariant |
L |
5.1721633708917 |
L(r)(E,1)/r! |
Ω |
0.059255403651742 |
Real period |
R |
21.821484000386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650bb1 |
Quadratic twists by: 5 |