Atkin-Lehner |
5+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
103675n |
Isogeny class |
Conductor |
103675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
148560 |
Modular degree for the optimal curve |
Δ |
-40498046875 = -1 · 510 · 11 · 13 · 29 |
Discriminant |
Eigenvalues |
-2 2 5+ -3 11+ 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-208,-9682] |
[a1,a2,a3,a4,a6] |
Generators |
[26955:393764:125] |
Generators of the group modulo torsion |
j |
-102400/4147 |
j-invariant |
L |
4.3385427439243 |
L(r)(E,1)/r! |
Ω |
0.50129898966925 |
Real period |
R |
8.6546009609624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103675bb1 |
Quadratic twists by: 5 |