Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
41832j |
Isogeny class |
Conductor |
41832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
71680 |
Modular degree for the optimal curve |
Δ |
-6639730320384 = -1 · 210 · 313 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- -1 0 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2157,-117826] |
[a1,a2,a3,a4,a6] |
j |
1486779836/8894529 |
j-invariant |
L |
3.0022488025778 |
L(r)(E,1)/r! |
Ω |
0.37528110032131 |
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 |
83664m1 13944j1 |
Quadratic twists by: -4 -3 |