Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
103824j |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
-941891328 = -1 · 28 · 36 · 72 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ -2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,225,702] |
[a1,a2,a3,a4,a6] |
Generators |
[78:702:1] |
Generators of the group modulo torsion |
j |
6750000/5047 |
j-invariant |
L |
6.7347792155847 |
L(r)(E,1)/r! |
Ω |
1.0026454651174 |
Real period |
R |
3.358504791403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027074 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51912p1 11536b1 |
Quadratic twists by: -4 -3 |