Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368by |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
-6922941255005497344 = -1 · 211 · 39 · 78 · 313 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 3 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,469077,27103174] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:41013:8] |
Generators of the group modulo torsion |
j |
64984593742/39413493 |
j-invariant |
L |
6.2751498689923 |
L(r)(E,1)/r! |
Ω |
0.14525927435409 |
Real period |
R |
1.7999854288241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456o1 15624x1 |
Quadratic twists by: -3 -7 |