Atkin-Lehner |
37+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
113627c |
Isogeny class |
Conductor |
113627 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12707280 |
Modular degree for the optimal curve |
Δ |
-2.7494860325517E+21 |
Discriminant |
Eigenvalues |
2 0 -4 -4 1 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-13119127,18462828551] |
[a1,a2,a3,a4,a6] |
Generators |
[1875842869556617287204:12438207642353835928333:867344503888493632] |
Generators of the group modulo torsion |
j |
-51930353664/571787 |
j-invariant |
L |
5.0207217759366 |
L(r)(E,1)/r! |
Ω |
0.14414728379191 |
Real period |
R |
34.830498666798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113627d1 |
Quadratic twists by: 37 |