Atkin-Lehner |
2- 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
19096c |
Isogeny class |
Conductor |
19096 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-4330205293568 = -1 · 210 · 7 · 117 · 31 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11+ 4 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2632,84700] |
[a1,a2,a3,a4,a6] |
Generators |
[38:488:1] |
Generators of the group modulo torsion |
j |
1968413769500/4228716107 |
j-invariant |
L |
3.7267366583441 |
L(r)(E,1)/r! |
Ω |
0.53892489235251 |
Real period |
R |
3.4575658976116 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38192g1 |
Quadratic twists by: -4 |