Atkin-Lehner |
2+ 3- 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120y |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
1344 |
Product of Tamagawa factors cp |
Δ |
5.0145249298067E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1324496,477212004] |
[a1,a2,a3,a4,a6] |
Generators |
[1534:-45360:1] [-1238:14868:1] |
Generators of the group modulo torsion |
j |
250943549458572516676/48969970017644025 |
j-invariant |
L |
13.066751432943 |
L(r)(E,1)/r! |
Ω |
0.19011431004122 |
Real period |
R |
0.81822649047452 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989635 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49560a2 |
Quadratic twists by: -4 |