Atkin-Lehner |
3- 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309r |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-1758597930746028099 = -1 · 36 · 78 · 132 · 195 |
Discriminant |
Eigenvalues |
-1 3- -1 7+ 5 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-64668241,200158028804] |
[a1,a2,a3,a4,a6] |
Generators |
[4583:4748:1] |
Generators of the group modulo torsion |
j |
-5188150154256692921809/305057872899 |
j-invariant |
L |
4.1026657351958 |
L(r)(E,1)/r! |
Ω |
0.19960205268976 |
Real period |
R |
0.34257043618463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927c1 36309h1 |
Quadratic twists by: -3 -7 |