Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400bs |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-7297976000000000 = -1 · 212 · 59 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -3 1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-101533,13079563] |
[a1,a2,a3,a4,a6] |
Generators |
[78:2375:1] |
Generators of the group modulo torsion |
j |
-1808713045504/114030875 |
j-invariant |
L |
7.1508550303752 |
L(r)(E,1)/r! |
Ω |
0.41210627046992 |
Real period |
R |
0.54224901524208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016192 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400m1 21280e1 |
Quadratic twists by: -4 5 |