Atkin-Lehner |
3- 5+ 31+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
99975i |
Isogeny class |
Conductor |
99975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5932800 |
Modular degree for the optimal curve |
Δ |
-7.887638640208E+19 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -5 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33271576,-73872318577] |
[a1,a2,a3,a4,a6] |
j |
-417103437213938989825/8076941967573 |
j-invariant |
L |
0.25144361203706 |
L(r)(E,1)/r! |
Ω |
0.031430458233538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99975f1 |
Quadratic twists by: 5 |