Atkin-Lehner |
2- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3718n |
Isogeny class |
Conductor |
3718 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
28392 |
Modular degree for the optimal curve |
Δ |
-23486675539330432 = -1 · 27 · 113 · 1310 |
Discriminant |
Eigenvalues |
2- -2 0 -2 11+ 13+ 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,56527,-5249687] |
[a1,a2,a3,a4,a6] |
j |
144896375/170368 |
j-invariant |
L |
1.4282992491344 |
L(r)(E,1)/r! |
Ω |
0.20404274987634 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29744bc1 118976bi1 33462bd1 92950d1 |
Quadratic twists by: -4 8 -3 5 |