Atkin-Lehner |
2+ 3+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
99264b |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-8913597890199552 = -1 · 215 · 33 · 118 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,34623,3794337] |
[a1,a2,a3,a4,a6] |
Generators |
[342655:17980004:125] |
Generators of the group modulo torsion |
j |
140073287248504/272021419989 |
j-invariant |
L |
5.9502408006244 |
L(r)(E,1)/r! |
Ω |
0.28382270652559 |
Real period |
R |
10.482319888615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961635 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264x3 49632d2 |
Quadratic twists by: -4 8 |