Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
79200bz |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
441045000000 = 26 · 36 · 57 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2325,-29000] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:50:1] |
Generators of the group modulo torsion |
j |
1906624/605 |
j-invariant |
L |
5.0602638136023 |
L(r)(E,1)/r! |
Ω |
0.70473878514291 |
Real period |
R |
1.7950849015391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005229 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79200be1 8800t1 15840bb1 |
Quadratic twists by: -4 -3 5 |