Atkin-Lehner |
2+ 3- 7- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33558i |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
315 |
Product of Tamagawa factors cp |
deg |
20835360 |
Modular degree for the optimal curve |
Δ |
-5.982899649524E+27 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,451093754,-500589403258] |
[a1,a2,a3,a4,a6] |
j |
10151358252098965783910447438375/5982899649524033401685852262 |
j-invariant |
L |
0.87357720699741 |
L(r)(E,1)/r! |
Ω |
0.024959348771686 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
100674bp1 |
Quadratic twists by: -3 |