Atkin-Lehner |
2- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127832f |
Isogeny class |
Conductor |
127832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
-2433198552642304 = -1 · 28 · 19 · 298 |
Discriminant |
Eigenvalues |
2- 2 3 1 1 -6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7849,-2385699] |
[a1,a2,a3,a4,a6] |
Generators |
[480956367045:7777786476662:1540798875] |
Generators of the group modulo torsion |
j |
-351232/15979 |
j-invariant |
L |
12.886060086906 |
L(r)(E,1)/r! |
Ω |
0.20076315185467 |
Real period |
R |
16.046346114642 |
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 |
4408a1 |
Quadratic twists by: 29 |