Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300bo |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-27403834218750000 = -1 · 24 · 32 · 510 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-64533,10139688] |
[a1,a2,a3,a4,a6] |
j |
-67108864/61875 |
j-invariant |
L |
2.7375162167563 |
L(r)(E,1)/r! |
Ω |
0.34218952709603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900ce1 7260b1 3300k1 |
Quadratic twists by: -3 5 -11 |