Atkin-Lehner |
2+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
83248r |
Isogeny class |
Conductor |
83248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4224000 |
Modular degree for the optimal curve |
Δ |
-9.0803090599243E+19 |
Discriminant |
Eigenvalues |
2+ 0 3 0 11- 1 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52868651,-147961096822] |
[a1,a2,a3,a4,a6] |
Generators |
[61849383190949468814982:6933810411054369979715323:3781876804720264216] |
Generators of the group modulo torsion |
j |
-615306624895908/3418801 |
j-invariant |
L |
7.978974334637 |
L(r)(E,1)/r! |
Ω |
0.027994315764979 |
Real period |
R |
35.627653849549 |
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 |
41624m1 83248j1 |
Quadratic twists by: -4 -11 |