Atkin-Lehner |
2+ 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
36360i |
Isogeny class |
Conductor |
36360 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
119278980000000 = 28 · 310 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -2 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23671767,-44329632374] |
[a1,a2,a3,a4,a6] |
j |
7860465226760390503504/639140625 |
j-invariant |
L |
0.95823034747323 |
L(r)(E,1)/r! |
Ω |
0.068445024821002 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72720u1 12120o1 |
Quadratic twists by: -4 -3 |