Atkin-Lehner |
2+ 3- 5+ 29- 47- |
Signs for the Atkin-Lehner involutions |
Class |
122670q |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-2484067500 = -1 · 22 · 36 · 54 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-720,7996] |
[a1,a2,a3,a4,a6] |
Generators |
[18:16:1] [-7:116:1] |
Generators of the group modulo torsion |
j |
-56667352321/3407500 |
j-invariant |
L |
7.7244568334876 |
L(r)(E,1)/r! |
Ω |
1.4268908046732 |
Real period |
R |
0.67668605129532 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13630i1 |
Quadratic twists by: -3 |