Atkin-Lehner |
2- 3- 7- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
23478v |
Isogeny class |
Conductor |
23478 |
Conductor |
∏ cp |
810 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-483157616046303744 = -1 · 29 · 315 · 76 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-814034,-284730108] |
[a1,a2,a3,a4,a6] |
j |
-59655622131011388527137/483157616046303744 |
j-invariant |
L |
7.1489368250392 |
L(r)(E,1)/r! |
Ω |
0.079432631389324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
70434q1 |
Quadratic twists by: -3 |