Atkin-Lehner |
2+ 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
103400g |
Isogeny class |
Conductor |
103400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1419264 |
Modular degree for the optimal curve |
Δ |
-3925807187500000000 = -1 · 28 · 513 · 112 · 473 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 11- 1 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124700,-96823500] |
[a1,a2,a3,a4,a6] |
Generators |
[4430:293750:1] |
Generators of the group modulo torsion |
j |
-53612132373504/981451796875 |
j-invariant |
L |
6.1896965470924 |
L(r)(E,1)/r! |
Ω |
0.10666155070354 |
Real period |
R |
0.60449154604168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000169 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20680e1 |
Quadratic twists by: 5 |