Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400g |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-149590800000000 = -1 · 210 · 39 · 58 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 -1 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15208,936412] |
[a1,a2,a3,a4,a6] |
j |
-972542500/373977 |
j-invariant |
L |
1.0873682439592 |
L(r)(E,1)/r! |
Ω |
0.54368412197962 |
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 |
22800bm1 91200er1 34200cw1 11400bi1 |
Quadratic twists by: -4 8 -3 5 |