Atkin-Lehner |
2- 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
80400dn |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-4939776000000000 = -1 · 222 · 32 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -6 2 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3792,3381588] |
[a1,a2,a3,a4,a6] |
Generators |
[27:1872:1] [108:2250:1] |
Generators of the group modulo torsion |
j |
753571/617472 |
j-invariant |
L |
11.142455507022 |
L(r)(E,1)/r! |
Ω |
0.33743126700574 |
Real period |
R |
8.2553519759303 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997808 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050be1 80400cp1 |
Quadratic twists by: -4 5 |