Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
36960t |
Isogeny class |
Conductor |
36960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
3326400000000 = 212 · 33 · 58 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11921,489279] |
[a1,a2,a3,a4,a6] |
Generators |
[85:312:1] |
Generators of the group modulo torsion |
j |
45744434023744/812109375 |
j-invariant |
L |
6.7920382266233 |
L(r)(E,1)/r! |
Ω |
0.79533682304017 |
Real period |
R |
2.8466087280524 |
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 |
36960g3 73920gc1 110880dz3 |
Quadratic twists by: -4 8 -3 |