Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
97344ft |
Isogeny class |
Conductor |
97344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7667712 |
Modular degree for the optimal curve |
Δ |
-2.9092548188657E+22 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 -6 13+ 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6037356,9997263952] |
[a1,a2,a3,a4,a6] |
Generators |
[11102449564:500893427952:7645373] |
Generators of the group modulo torsion |
j |
-156116857/186624 |
j-invariant |
L |
7.1631241882139 |
L(r)(E,1)/r! |
Ω |
0.1067505865328 |
Real period |
R |
16.775374303996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004437 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97344cm1 24336bz1 32448dg1 97344fy1 |
Quadratic twists by: -4 8 -3 13 |