Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13200ca |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
Δ |
-707384307300000000 = -1 · 28 · 3 · 58 · 119 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-62708,-40893588] |
[a1,a2,a3,a4,a6] |
j |
-272709010000/7073843073 |
j-invariant |
L |
1.1152486050094 |
L(r)(E,1)/r! |
Ω |
0.12391651166771 |
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 |
3300o2 52800hk2 39600ek2 13200cj2 |
Quadratic twists by: -4 8 -3 5 |