Atkin-Lehner |
2+ 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200b |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-30412800 = -1 · 212 · 33 · 52 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 11+ 2 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,320] |
[a1,a2,a3,a4,a6] |
Generators |
[4:12:1] |
Generators of the group modulo torsion |
j |
-8640/11 |
j-invariant |
L |
7.5938434426695 |
L(r)(E,1)/r! |
Ω |
1.8874134889251 |
Real period |
R |
1.0058531803386 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001149 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200h1 79200cr1 79200cw1 |
Quadratic twists by: -4 -3 5 |