Atkin-Lehner |
2- 3+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
41808h |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-63262959896238336 = -1 · 28 · 317 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 -5 6 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-145140,24531084] |
[a1,a2,a3,a4,a6] |
Generators |
[41615:1011296:343] |
Generators of the group modulo torsion |
j |
-1320833560785975376/247120937094681 |
j-invariant |
L |
4.8023643148822 |
L(r)(E,1)/r! |
Ω |
0.33562642617629 |
Real period |
R |
7.1543298446328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10452b1 125424s1 |
Quadratic twists by: -4 -3 |