Atkin-Lehner |
2- 3+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
86592cp |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
180224 |
Modular degree for the optimal curve |
Δ |
-13667506104384 = -1 · 26 · 316 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4428,-138510] |
[a1,a2,a3,a4,a6] |
j |
149992136715968/213554782881 |
j-invariant |
L |
1.499934439988 |
L(r)(E,1)/r! |
Ω |
0.37498360055772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592dd1 43296bb2 |
Quadratic twists by: -4 8 |