Atkin-Lehner |
2+ 3- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
7254g |
Isogeny class |
Conductor |
7254 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
30240 |
Modular degree for the optimal curve |
Δ |
-1222374133334016 = -1 · 227 · 36 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -3 -1 0 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22599,-1063827] |
[a1,a2,a3,a4,a6] |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
0.53023675354932 |
L(r)(E,1)/r! |
Ω |
0.26511837677466 |
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 |
58032bl1 806e1 94302ca1 |
Quadratic twists by: -4 -3 13 |