Atkin-Lehner |
2+ 3+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
8214c |
Isogeny class |
Conductor |
8214 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
133200 |
Modular degree for the optimal curve |
Δ |
-1010582488646518752 = -1 · 25 · 35 · 379 |
Discriminant |
Eigenvalues |
2+ 3+ 2 3 3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115024,-50691488] |
[a1,a2,a3,a4,a6] |
j |
-1295029/7776 |
j-invariant |
L |
2.087050057752 |
L(r)(E,1)/r! |
Ω |
0.11594722543067 |
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 |
65712be1 24642u1 8214i1 |
Quadratic twists by: -4 -3 37 |