Atkin-Lehner |
3+ 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99975f |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1186560 |
Modular degree for the optimal curve |
Δ |
-5048088729733125 = -1 · 38 · 54 · 315 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -5 2 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1330863,-591510894] |
[a1,a2,a3,a4,a6] |
Generators |
[1387281361652:45532281269701:712121957] |
Generators of the group modulo torsion |
j |
-417103437213938989825/8076941967573 |
j-invariant |
L |
2.7073228586721 |
L(r)(E,1)/r! |
Ω |
0.070280641174159 |
Real period |
R |
19.260800794085 |
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 |
99975i1 |
Quadratic twists by: 5 |