Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372f |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
663343973648149248 = 28 · 33 · 76 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1228348,-522122264] |
[a1,a2,a3,a4,a6] |
Generators |
[-773742288522:-899516251843:1170905464] |
Generators of the group modulo torsion |
j |
1409938000/4563 |
j-invariant |
L |
5.6548861087204 |
L(r)(E,1)/r! |
Ω |
0.14343451640324 |
Real period |
R |
19.712431310025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008045 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2028d2 7644a2 |
Quadratic twists by: -7 13 |