Atkin-Lehner |
2+ 3- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
83496h |
Isogeny class |
Conductor |
83496 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-3.913336582487E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 0 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-560184,-341697168] |
[a1,a2,a3,a4,a6] |
j |
-80686039032146/162416074779 |
j-invariant |
L |
2.9507838911809 |
L(r)(E,1)/r! |
Ω |
0.081966216375377 |
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 |
11928b1 |
Quadratic twists by: -7 |