Atkin-Lehner |
3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
49419h |
Isogeny class |
Conductor |
49419 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-44349138288718569 = -1 · 39 · 179 · 19 |
Discriminant |
Eigenvalues |
-1 3- -1 -1 0 4 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-126203,20042660] |
[a1,a2,a3,a4,a6] |
Generators |
[1662:65494:1] |
Generators of the group modulo torsion |
j |
-2571353/513 |
j-invariant |
L |
3.5469149667462 |
L(r)(E,1)/r! |
Ω |
0.34509134814054 |
Real period |
R |
1.2847739395113 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16473f1 49419g1 |
Quadratic twists by: -3 17 |