Atkin-Lehner |
3- 7- 23+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
114471s |
Isogeny class |
Conductor |
114471 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-110403501957 = -1 · 311 · 73 · 23 · 79 |
Discriminant |
Eigenvalues |
1 3- 4 7- 2 0 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2700,-55647] |
[a1,a2,a3,a4,a6] |
Generators |
[64:143:1] |
Generators of the group modulo torsion |
j |
-2986606123201/151445133 |
j-invariant |
L |
12.862298383482 |
L(r)(E,1)/r! |
Ω |
0.3301719842508 |
Real period |
R |
3.2463632709416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999613549 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38157m1 |
Quadratic twists by: -3 |