Atkin-Lehner |
2- 3- 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
74100bc |
Isogeny class |
Conductor |
74100 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-411810750000 = -1 · 24 · 33 · 56 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1833,42588] |
[a1,a2,a3,a4,a6] |
Generators |
[24:114:1] |
Generators of the group modulo torsion |
j |
-2725888000/1647243 |
j-invariant |
L |
8.3865248274042 |
L(r)(E,1)/r! |
Ω |
0.87558970271538 |
Real period |
R |
1.5963574419105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2964a1 |
Quadratic twists by: 5 |