Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200db |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
119808 |
Modular degree for the optimal curve |
Δ |
-8363520000 = -1 · 212 · 33 · 54 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- -5 11- -5 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12600,544400] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:1020:1] [25:495:1] |
Generators of the group modulo torsion |
j |
-3200601600/121 |
j-invariant |
L |
9.4273758237785 |
L(r)(E,1)/r! |
Ω |
1.2257150807921 |
Real period |
R |
0.32047196949955 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200cz1 79200n1 79200l1 |
Quadratic twists by: -4 -3 5 |