Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
127400bg |
Isogeny class |
Conductor |
127400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
61102080 |
Modular degree for the optimal curve |
Δ |
-5.08693508421E+28 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -3 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-493154375,11641365334375] |
[a1,a2,a3,a4,a6] |
Generators |
[3176410671:570409764547:205379] |
Generators of the group modulo torsion |
j |
-721546155312825600/2767247026234327 |
j-invariant |
L |
4.969177098635 |
L(r)(E,1)/r! |
Ω |
0.031090796096166 |
Real period |
R |
9.9892446963315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999567361 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127400y1 18200o1 |
Quadratic twists by: 5 -7 |