Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bh |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-1426086763516800 = -1 · 27 · 33 · 52 · 7 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10045,-1861955] |
[a1,a2,a3,a4,a6] |
Generators |
[34161:6296881:1] |
Generators of the group modulo torsion |
j |
-2531307865/32199552 |
j-invariant |
L |
3.2919863444527 |
L(r)(E,1)/r! |
Ω |
0.20463996568461 |
Real period |
R |
8.0433614878633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999716652 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050iv1 11550bn1 |
Quadratic twists by: 5 -11 |