Atkin-Lehner |
2+ 3+ 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560z |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-171626893148160000 = -1 · 238 · 33 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 0 -6 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1638252,-807330896] |
[a1,a2,a3,a4,a6] |
Generators |
[7034149405158:17773387448320:4750104241] |
Generators of the group modulo torsion |
j |
-68700855708416547/24248320000 |
j-invariant |
L |
8.4374472487504 |
L(r)(E,1)/r! |
Ω |
0.066721405645521 |
Real period |
R |
15.807234536235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999854723 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106560ec1 3330m1 106560m1 |
Quadratic twists by: -4 8 -3 |