Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960s |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
35840 |
Modular degree for the optimal curve |
Δ |
-50923857600 = -1 · 26 · 310 · 52 · 72 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,314,-10540] |
[a1,a2,a3,a4,a6] |
Generators |
[26:126:1] |
Generators of the group modulo torsion |
j |
53327207744/795685275 |
j-invariant |
L |
7.5051086943036 |
L(r)(E,1)/r! |
Ω |
0.55034206439994 |
Real period |
R |
0.68185853669815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36960be1 73920bx2 110880dy1 |
Quadratic twists by: -4 8 -3 |