Atkin-Lehner |
2+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87362j |
Isogeny class |
Conductor |
87362 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3192000 |
Modular degree for the optimal curve |
Δ |
-4573287524520504152 = -1 · 23 · 116 · 199 |
Discriminant |
Eigenvalues |
2+ 3 2 3 11- 3 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-51871,-102977275] |
[a1,a2,a3,a4,a6] |
j |
-27/8 |
j-invariant |
L |
7.00644152736 |
L(r)(E,1)/r! |
Ω |
0.10947564874904 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
722d1 87362bd1 |
Quadratic twists by: -11 -19 |