Atkin-Lehner |
2- 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398l |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3478941196641442 = 2 · 79 · 23 · 374 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -4 6 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-74367,7290245] |
[a1,a2,a3,a4,a6] |
Generators |
[157938:3923879:216] |
Generators of the group modulo torsion |
j |
1127136889143/86211406 |
j-invariant |
L |
5.7531303752518 |
L(r)(E,1)/r! |
Ω |
0.43546536637924 |
Real period |
R |
6.6057266787804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973916 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83398k2 |
Quadratic twists by: -7 |