Atkin-Lehner |
2+ 3+ 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
36024c |
Isogeny class |
Conductor |
36024 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
-449651568 = -1 · 24 · 3 · 19 · 793 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -4 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,36,1005] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-79:1] |
Generators of the group modulo torsion |
j |
313611008/28103223 |
j-invariant |
L |
2.3771091140368 |
L(r)(E,1)/r! |
Ω |
1.2780161847284 |
Real period |
R |
0.30999987095119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72048g1 108072n1 |
Quadratic twists by: -4 -3 |