Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
12936r |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
30912 |
Modular degree for the optimal curve |
Δ |
-19090807228416 = -1 · 211 · 3 · 710 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11- 6 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-800,-210132] |
[a1,a2,a3,a4,a6] |
j |
-98/33 |
j-invariant |
L |
2.7688159706539 |
L(r)(E,1)/r! |
Ω |
0.30764621896154 |
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 |
25872o1 103488db1 38808t1 12936w1 |
Quadratic twists by: -4 8 -3 -7 |