Atkin-Lehner |
2- 3+ 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650bz |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
3526019897812500000 = 25 · 3 · 510 · 113 · 414 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-17058688,27111297281] |
[a1,a2,a3,a4,a6] |
Generators |
[2545:-15023:1] |
Generators of the group modulo torsion |
j |
35135049201404288637241/225665273460000 |
j-invariant |
L |
5.7563899148383 |
L(r)(E,1)/r! |
Ω |
0.22302502269995 |
Real period |
R |
0.86035038360815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996779 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13530k4 |
Quadratic twists by: 5 |