Atkin-Lehner |
5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
34385l |
Isogeny class |
Conductor |
34385 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
15610427345703125 = 59 · 134 · 234 |
Discriminant |
Eigenvalues |
-2 -2 5- -2 -3 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-151470,-21929994] |
[a1,a2,a3,a4,a6] |
Generators |
[2085:-93438:1] [-255:422:1] |
Generators of the group modulo torsion |
j |
1373393891700736/55783203125 |
j-invariant |
L |
3.1200681764854 |
L(r)(E,1)/r! |
Ω |
0.24260757628023 |
Real period |
R |
0.11907921671531 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34385e1 |
Quadratic twists by: -23 |