Atkin-Lehner |
3- 5+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
107415n |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.4969260013373E+22 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13379175,21958849300] |
[a1,a2,a3,a4,a6] |
Generators |
[-4626:1376399:8] |
Generators of the group modulo torsion |
j |
-363315733180648784146801/75403648852364153475 |
j-invariant |
L |
7.5363171218199 |
L(r)(E,1)/r! |
Ω |
0.10707305025455 |
Real period |
R |
8.7981022402969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999671726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805k5 |
Quadratic twists by: -3 |