Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99372p |
Isogeny class |
Conductor |
99372 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.8116406865996E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3348284,-1936119576] |
[a1,a2,a3,a4,a6] |
Generators |
[1609571303958:-359854171151293:32157432] |
Generators of the group modulo torsion |
j |
28556329552/5373459 |
j-invariant |
L |
4.0372726811357 |
L(r)(E,1)/r! |
Ω |
0.11306156821286 |
Real period |
R |
17.854310443506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196n2 7644c2 |
Quadratic twists by: -7 13 |