Atkin-Lehner |
2- 3- 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
36708i |
Isogeny class |
Conductor |
36708 |
Conductor |
∏ cp |
33 |
Product of Tamagawa factors cp |
deg |
459360 |
Modular degree for the optimal curve |
Δ |
-176198041309393152 = -1 · 28 · 311 · 75 · 19 · 233 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -2 -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45676,-20557468] |
[a1,a2,a3,a4,a6] |
j |
-41167779978806224/688273598864817 |
j-invariant |
L |
4.5496567723883 |
L(r)(E,1)/r! |
Ω |
0.13786838704365 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110124l1 |
Quadratic twists by: -3 |