Atkin-Lehner |
2+ 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600l |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2974320000000 = -1 · 210 · 37 · 57 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -1 -2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2967,53937] |
[a1,a2,a3,a4,a6] |
Generators |
[32:425:1] |
Generators of the group modulo torsion |
j |
180472064/185895 |
j-invariant |
L |
2.9629685607157 |
L(r)(E,1)/r! |
Ω |
0.52973212175573 |
Real period |
R |
2.7966668815264 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600ib1 5100k1 16320bc1 |
Quadratic twists by: -4 8 5 |