Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050db |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-1.1340696528564E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1357199,1501711748] |
[a1,a2,a3,a4,a6] |
Generators |
[382:45371:1] |
Generators of the group modulo torsion |
j |
146234339790153527/599838494072832 |
j-invariant |
L |
5.8582095534461 |
L(r)(E,1)/r! |
Ω |
0.11031221090483 |
Real period |
R |
1.2644219467073 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999559858 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5082w1 127050ii1 |
Quadratic twists by: 5 -11 |