Atkin-Lehner |
2+ 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
44370u |
Isogeny class |
Conductor |
44370 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
7.3970060788977E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14635449,-17119329507] |
[a1,a2,a3,a4,a6] |
j |
475569892619895944185489/101467847447156250000 |
j-invariant |
L |
2.8207451571872 |
L(r)(E,1)/r! |
Ω |
0.078354032142305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790w1 |
Quadratic twists by: -3 |