Atkin-Lehner |
2+ 5- 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
101050g |
Isogeny class |
Conductor |
101050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
695224000 = 26 · 53 · 432 · 47 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -1 -1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-285,-1475] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:11:1] [-9:26:1] |
Generators of the group modulo torsion |
j |
20593355021/5561792 |
j-invariant |
L |
6.7797822409531 |
L(r)(E,1)/r! |
Ω |
1.1849059815974 |
Real period |
R |
0.71522364914144 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101050s1 |
Quadratic twists by: 5 |