Atkin-Lehner |
2+ 3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
36630k |
Isogeny class |
Conductor |
36630 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
573440 |
Modular degree for the optimal curve |
Δ |
267365007360000000 = 220 · 36 · 57 · 112 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11- 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-508200,-137080000] |
[a1,a2,a3,a4,a6] |
Generators |
[10683696:6715122536:27] |
Generators of the group modulo torsion |
j |
19911347259676611201/366755840000000 |
j-invariant |
L |
4.1605133849822 |
L(r)(E,1)/r! |
Ω |
0.17900967885279 |
Real period |
R |
11.620917404147 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4070e1 |
Quadratic twists by: -3 |