Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81144v |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
-9.6250629645455E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3712779,2793738087] |
[a1,a2,a3,a4,a6] |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
2.2814632109421 |
L(r)(E,1)/r! |
Ω |
0.19012193793822 |
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 |
9016l1 11592d1 |
Quadratic twists by: -3 -7 |