Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304dp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-825119564365824 = -1 · 219 · 3 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 1 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18751,-959841] |
[a1,a2,a3,a4,a6] |
Generators |
[149175:1745184:2197] |
Generators of the group modulo torsion |
j |
68921/78 |
j-invariant |
L |
11.081343021849 |
L(r)(E,1)/r! |
Ω |
0.27044114120168 |
Real period |
R |
5.1218829763599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fo1 3822y1 122304cg1 |
Quadratic twists by: -4 8 -7 |