Atkin-Lehner |
2+ 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
10176d |
Isogeny class |
Conductor |
10176 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-3001024512 = -1 · 221 · 33 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 3 4 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3873,94113] |
[a1,a2,a3,a4,a6] |
j |
-24515367625/11448 |
j-invariant |
L |
2.8079842794765 |
L(r)(E,1)/r! |
Ω |
1.4039921397382 |
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 |
10176t1 318b1 30528h1 |
Quadratic twists by: -4 8 -3 |