Atkin-Lehner |
2- 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
30192u |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-743830401024 = -1 · 212 · 33 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -3 5 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,811,-40803] |
[a1,a2,a3,a4,a6] |
j |
14384365568/181599219 |
j-invariant |
L |
2.6505155678773 |
L(r)(E,1)/r! |
Ω |
0.44175259464574 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1887c1 120768dn1 90576bn1 |
Quadratic twists by: -4 8 -3 |