Atkin-Lehner |
2- 3- 41+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
78228f |
Isogeny class |
Conductor |
78228 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-64479898368 = -1 · 28 · 37 · 41 · 532 |
Discriminant |
Eigenvalues |
2- 3- -4 2 5 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-192,12260] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:90:1] [8:-106:1] |
Generators of the group modulo torsion |
j |
-4194304/345507 |
j-invariant |
L |
9.2266099398026 |
L(r)(E,1)/r! |
Ω |
0.90895107766194 |
Real period |
R |
0.84590268995834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26076d1 |
Quadratic twists by: -3 |