Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13200co |
Isogeny class |
Conductor |
13200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-7421230080000 = -1 · 213 · 32 · 54 · 115 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ 1 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1992,127188] |
[a1,a2,a3,a4,a6] |
j |
341297975/2898918 |
j-invariant |
L |
2.1740736192429 |
L(r)(E,1)/r! |
Ω |
0.54351840481071 |
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 |
1650c1 52800fp1 39600ey1 13200bj2 |
Quadratic twists by: -4 8 -3 5 |