Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300o |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
342144 |
Modular degree for the optimal curve |
Δ |
-180865305843750000 = -1 · 24 · 33 · 59 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11- 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-321658,73244437] |
[a1,a2,a3,a4,a6] |
Generators |
[2826:15125:8] |
Generators of the group modulo torsion |
j |
-68679424/3375 |
j-invariant |
L |
4.5342415470906 |
L(r)(E,1)/r! |
Ω |
0.31675650797591 |
Real period |
R |
1.1928830276355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900ch1 7260m1 36300l1 |
Quadratic twists by: -3 5 -11 |