Atkin-Lehner |
2- 3+ 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
36900c |
Isogeny class |
Conductor |
36900 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-80700300000000 = -1 · 28 · 39 · 58 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -1 0 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10800,-13500] |
[a1,a2,a3,a4,a6] |
Generators |
[240:4050:1] |
Generators of the group modulo torsion |
j |
1769472/1025 |
j-invariant |
L |
6.6023403186504 |
L(r)(E,1)/r! |
Ω |
0.36222499306978 |
Real period |
R |
1.5189317056545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36900a1 7380b1 |
Quadratic twists by: -3 5 |