Atkin-Lehner |
3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36309h |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-14947835772051 = -1 · 36 · 72 · 132 · 195 |
Discriminant |
Eigenvalues |
-1 3+ 1 7- 5 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1319760,-584116716] |
[a1,a2,a3,a4,a6] |
Generators |
[236472008:5311334356:148877] |
Generators of the group modulo torsion |
j |
-5188150154256692921809/305057872899 |
j-invariant |
L |
3.5861379009519 |
L(r)(E,1)/r! |
Ω |
0.070428074573678 |
Real period |
R |
12.729788236657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108927r1 36309r1 |
Quadratic twists by: -3 -7 |