Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350m |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2428800 |
Modular degree for the optimal curve |
Δ |
-4.5490397257728E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -4 -4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,15418008,-22587963584] |
[a1,a2,a3,a4,a6] |
j |
56935209711531575/63898719879168 |
j-invariant |
L |
0.91023625714776 |
L(r)(E,1)/r! |
Ω |
0.050568680952653 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450v1 19350cu1 |
Quadratic twists by: -3 5 |