Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36960z |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
449064000 = 26 · 36 · 53 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 0 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3190,68288] |
[a1,a2,a3,a4,a6] |
Generators |
[26:60:1] |
Generators of the group modulo torsion |
j |
56111505690304/7016625 |
j-invariant |
L |
8.0855048249909 |
L(r)(E,1)/r! |
Ω |
1.6069787962201 |
Real period |
R |
0.55905493408632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960i1 73920eo1 110880dc1 |
Quadratic twists by: -4 8 -3 |